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Differencialʹnye uravneniâ
Tome 25 (1989)
Précédent
Suivant
Sommaire du
Fascicule no. 1
An asymptotic estimate in
$L_2$
for the Riesz means of the spectral function of an elliptic operator
R. R. Ashurov
p. 3-14
Solution of a problem with an oblique derivative for a parabolic equation by the method of boundary integral equations
E. A. Baderko
p. 14-20
An analogue of the Bitsadze--Samarski{\v\i} problem for a third-order parabolic-hyperbolic equation
D. Bazarov
p. 21-27
Necessary and sufficient conditions for the solvability of the Cauchy problem for some classes of nonlinear evolution equations
B. A. Bubnov
p. 27-33
Stabilization of means of the solution of the Cauchy problem for hyperbolic equations in a space of negative curvature
V. N. Denisov
p. 34-43
Spectral approach to asymptotic diffusion problems
V. V. Zhikov
p. 44-50
$L_2$
-solvability of boundary value problems for equations of mixed type
N. Yu. Kapustin
p. 50-59
On the theory of nonlocal problems for the Laplace equation
K. Yu. Kishkis
p. 59-64
Summability of spectral expansions that correspond to the nonselfadjoint Schr\"odinger operator. I
A. S. Makin
p. 65-73
On the construction of stable and stabilizing systems with distributed parameters
K. V. Mal'kov
p. 74-89
Global bifurcation of solutions of some nonlinearizable eigenvalue problems
A. P. Makhmudov
;
Z. S. Aliyev
p. 89-96
Disposition of the spectrum of the Tricomi problem for the Lavrent'ev--Bitsadze equation
E. I. Moiseev
p. 97-106
Some inverse initial-boundary value problems for nonstationary linearized Navier--Stokes equations
A. I. Prilepko
;
I. A. Vasin
p. 106-117
On the theory of equations of mixed parabolic-hyperbolic type with a spectral parameter
K. B. Sabitov
p. 117-126
Eigenvalues and eigenfunctions of some nonlocal boundary value problems
A. L. Skubachevskii
p. 127-136
Higher-order elliptic systems
A. P. Soldatov
p. 136-144
Control in nonlocal boundary value problems
V. N. Sushch
p. 145-153
Solvability of a characteristic problem for second-order degenerate hyperbolic systems
S. S. Kharibegashvili
p. 154-162
The basis property of some systems of functions
B. T. Bilalov
p. 163-164
Membership in class
$W_2^1$
of the classical solution of the Dirichlet problem for second-order elliptic systems
V. M. Govorov
;
È. K. Safiev
p. 165-167
On the completeness of root functions of some boundary value problems
Ya. N. Mamedov
p. 167-169
Completeness of a system of root functions of the Tricomi problem for the Lavrent'ev--Bitsadze equation
E. I. Moiseev
p. 170-172
The Riesz basis of the Bitsadze--Samarski{\v\i} spectral problem with infinitely multiple eigenvalues
M. A. Mustafin
p. 172-174
Interpolation of Besov classes and absolute convergence of Fourier series
V. S. Serov
p. 174-176
On the asymptotics of the energy of random sources of oscillations for an abstract Cauchy problem
F. V. Srumova
p. 177-178
Sommaire du
Fascicule no. 2
The comparison method and investigation of the stability of systems of ordinary differential equations containing perturbations. II
O. V. Anashkin
;
M. M. Khapaev
p. 187-192
Second-order kindred linear differential equations
L. M. Berkovich
p. 192-201
Nonnegativity of the Cauchy matrix and the stability of a system of linear differential equations with retarded argument
A. I. Domoshnitskii
;
M. V. Sheina
p. 201-208
Linear systems with nonregularity sets of full measure
E. K. Makarov
p. 209-212
Investigation of the existence and convexity of limit cycles by the method of generalized Lyapunov functions
Yu. V. Malyshev
;
V. P. Zakharov
p. 212-216
An analogue of a theorem of Hartman
D. D. Mirzov
p. 216-222
Eigenvalues of boundary value problems. Transformations of boundary value problems to boundary value problems with small coefficients
V. S. Mokeichev
p. 222-228
A priori estimation of the length of a closed trajectory on a plane
V. P. Nozdracheva
p. 229-233
On exponential dichotomy with maximal index and on uniform strong positivity of a family of automorphisms of a vector bundle
M. I. Rakhimberdiev
p. 234-240
Linearization of an autonomous system in a neighborhood of a saddle singular point
V. S. Samovol
p. 240-246
A singularly perturbed differential equation with a Fredholm operator multiplying the derivative
V. A. Sobolev
;
K. I. Chernyshov
p. 247-258
The third boundary value problem for degenerate linear elliptic equations
M. I. Aliev
p. 259-262
Spatial singularities of high-mode bifurcations of two-component systems with small diffusion
S. A. Kashchenko
p. 262-270
Boundary value problems for third-order parabolic-hyperbolic equations with a noncharacteristic line of change of type
M. Mamazhanov
;
D. Khalmuratov
p. 271-275
Local solvability of some multidimensional inverse problems for equations of hyperbolic type
V. G. Romanov
p. 275-283
The homogeneous Keldysh--Sedov problem for multiply connected circular domains in the Muskhelishvili class
$h_0$
A. S. Sorokin
p. 283-293
Connection formulas for spheroidal functions in different coordinate systems
M. V. Fedoryuk
p. 294-299
The generalized Hilbert operator
I. K. Lifanov
;
L. N. Poltavskii
p. 300-306
Solvability in closed form of a class of complete singular integral equations
Nguen Van Mau
p. 307-311
Solutions of a class of nonlinear singular integro-differential equations with a shift
R. Sh. Khusnutdinov
p. 311-320
Asymptotic estimates for the solutions of the renewal equation
Z. B. Tsalyuk
p. 320-325
An integro-differential operator of potential theory
A. Yanushauskas
p. 325-329
Estimates of the solution of a half-space initial-boundary value problem for a system of equations of elliptic-parabolic type in
$W_p^l$
-classes
M. A. Abdrachmanov
p. 330-331
Метод функций Ляпунова и обобщенная непрерывная зависимость решений от начальных данных
B. V. Zadvornyi
On the bifurcation of the separatrix connecting two equilibrium states
V. S. Medvedev
p. 332-335
Necessary conditions for stability of characteristic Lyapunov exponents of linear differential systems in case of exponentially decreasing perturbations
A. M. Nurmatov
p. 335-336
On the connection between the Liouville equation and the superradiative cascade equation
A. A. Samodurov
A problem of Showalter
G. A. Sviridyuk
p. 338-339
Generalized solutions of integral equations of the first kind with weak singularities on closed surfaces
S. I. Smagin
p. 340-341
Removable singularities of H\"older solutions of elliptic systems
N. N. Tarkhanov
p. 341-342
On analytic solutions of the Korteweg--de Vries equation represented by exponential series
S. S. Titov
A method for constructing a solution of the two-dimensional nonlinear Poisson equation
I. E. Tralle
p. 343-345
Some integral operators in the theory of generalized analytic functions
A. Tungatarov
p. 345-347
A nonlocal problem for an analytic function in a doubly connected domain
T. V. Chekmarev
p. 348-350
Limit cycles of a quadratic system of differential equations in the presence of an integral line
R. M. Mints
p. 351-352
An algorithm for constructing a regularized asymptotic solution of a nonlinear singularly perturbed boundary value problem in the resonance case
V. A. Strizhkov
p. 352-355
The unconditional basis property of root vectors of loaded operators
V. V. Tikhomirov
p. 355-357
Exponential stability of linear systems with delay
D. Ya. Khusainov
p. 357-359
Sommaire du
Fascicule no. 3
On the theory of necessary conditions for optimality with delay and a derivative of the control
L. E. Zabello
p. 371-379
Discrete-group analysis of ordinary differential equations
V. F. Zaitsev
p. 379-387
Partial localization of limit sets and the asymptotic stability of nonautonomous equations. I
L. B. Knyazhishche
;
N. A. Raptunovich
p. 388-400
Spectral analysis of differential operators with periodic matrix coefficients
F. G. Maksudov
;
O. A. Veliev
p. 400-409
Expansions in residues of the solution of a spectral problem for a system of ordinary differential equations
Yu. A. Mamedov
p. 409-423
Necessary conditions for optimality in nonsmooth control problems with nonfixed time
B. Mordukhovich
p. 424-434
Relaxation oscillations in a system of Duffing type
A. V. Osipov
;
V. A. Pliss
p. 435-446
Application of the method of Lyapunov functions in the problem of Poisson stability
N. S. Fal'ko
p. 446-452
On the asymptotic behavior of the solution of a singularly perturbed parabolic problem in the two-dimensional case
V. F. Butuzov
;
V. Yu. Buchnev
p. 453-461
Partial symmetries and integrable multidimensional differential equations
E. M. Vorob'ev
p. 461-465
A first-order partial differential equation with an integral coefficient
M. Imanaliev
;
Yu. A. Ved'
p. 465-477
Smoothness of parabolic Pagni potentials. I
L. I. Kamynin
p. 477-490
Stabilization of solutions of the first mixed problem for a higher-order quasilinear parabolic equation
A. F. Tedeev
p. 490-498
A method for studying regular singularities of partial differential equations
M. Utepbergenov
p. 499-505
Pseudodifferential equations in functional superanalysis. II.~The Feynman--Kac formula
A. Yu. Khrennikov
p. 505-514
Auxiliary exponents
T. Sh. Abakirov
p. 515-517
The Dirichlet problem for a multidimensional elliptic system with variable coefficients
A. M. Abdrakhmanov
p. 517-520
A formula for periodic solutions of a linear nonhomogeneous differential system with a Jordan cell
È. I. Grudo
p. 521-523
Symmetrization of an operator of a boundary value problem for a hyperbolic equation
L. A. Zhelezovskaya
;
S. E. Zhelezovsky
;
V. Ph. Kirichenko
;
V. A. Krys'ko
p. 523-525
Asymptotic properties of the solutions of differential equations with unbounded damping
G. S. Krechetov
p. 525-527
On the solution of singularly perturbed equations on a large interval of the independent variable
R. P. Kuzmina
p. 527-529
Increasing the smoothness of solutions of second-order degenerate elliptic equations
S. K. Kydyraliev
p. 529-531
A boundary value problem for a system of third-order equations of composite type
V. A. Malovichko
p. 531-533
On some classes of integral equations solvable in closed form
N. B. Pleshchinskii
p. 533-534
A class of third-order equations with an irrational right-hand side without moving critical points
V. A. Pron'ko
p. 535-537
A Bitsadze-Samarski{\v\i} problem
A. K. Pulatov
p. 537-540
Limit cycles of a dynamical system that models the functioning of a laser
V. A. Rantsevich
;
A. M. Samson
p. 540-542
Exponents of regular Lappo--Danilevski{\v\i} systems
T. L. Surin
p. 543-545
Letter to the editors: ``The index of the Bitsadze--Samarski{\v\i} problem for harmonic functions'' [Differentsial'nye Uravneniya \textbf{24} (1988), no.~1, 105--110; MR0930160]
K. Yu. Kishkis
Sommaire du
Fascicule no. 4
New frequency criteria for the absolute stability and instability of automatic control systems with nonstationary nonlinearity
N. E. Barabanov
p. 555-563
Divergence of normalizing transformations in the case of real structurally unstable focus
V. V. Basov
p. 563-573
A boundary value problem for fourth-order ordinary differential equations
S. A. Bespalova
;
Yu. A. Klokov
p. 573-578
Estimates for the growth of solutions of differential equations
K. Kh. Boimatov
;
P. I. Lizorkin
p. 578-588
Some uniqueness theorems in inverse problems of spectral analysis for Sturm--Liouville operators in the case of the Weyl limit circle
M. G. Gasymov
;
G. Sh. Guseinov
p. 588-599
The central exponent of a linear system of differential equations
O. G. Illarionova
p. 599-604
The problem of the stability of singular points on the plane from the point of view of algebraic and analytic solvability
N. B. Medvedeva
p. 605-610
Oscillation and nonoscillation of solutions of first-order linear differential equations with deviating argument
V. A. Nadareishvili
p. 611-616
Analytic solution of a linear functional-differential equation with linear deviation of the argument
V. I. Rodionov
p. 616-626
Normal forms and regularization of nonlinear singularly perturbed evolution equations
V. F. Safonov
p. 627-635
Classes of third-order systems with quadratic right-hand sides without moving critical points
A. I. Yablonskii
;
A. F. Korzyuk
p. 635-640
Optimal control of linear loaded parabolic equations
M. T. Dzhenaliev (Jenaliyev)
p. 641-651
Symmetrization of a hyperbolic equation
S. E. Zhelezovsky
;
V. Ph. Kirichenko
;
V. A. Krys'ko
p. 652-659
Smoothness of parabolic Pagni potentials. II. Proof of theorems on smoothness of direct values of Pagni potentials
L. I. Kamynin
p. 659-674
Self-oscillatory solutions of a class of singularly perturbed boundary value problems
E. P. Kubishkin
p. 674-685
$K$
-limits of solutions of second-order quasilinear elliptic equations
B. P. Kufarev
;
N. G. Nikulina
;
B. V. Sokolov
p. 686-692
Estimates for the Green function and for solutions of the second mixed problem for a parabolic equation
A. V. Lezhnev
p. 692-703
Solvability of a boundary value problem for hyperbolic equations in nonclassical domains
M. E. Lerner
p. 704-716
Some expansions of arbitrary functions in integrals with respect to spherical functions
A. I. Moshinskii
p. 716-721
Necessary conditions for the basis property in the direct sum of Sobolev spaces
E. P. Bogomolova
p. 722-723
Estimates for solutions of quasilinear systems of parabolic type
M. I. Gil'
p. 723-726
On a problem of Florio and Seibert
B. S. Kalitin
p. 727-729
Fractional powers of quasidifferential operators and theorems on the property of being a basis
T. B. Kasumov
p. 729-731
Sommaire du
Fascicule no. 5
Criteria for the global asymptotics of stationary sets of systems of differential equations with a hysteresis nonlinearity
N. E. Barabanov
p. 739-748
Conditions for the existence of solutions that do not require isolation of the linear part in the boundary conditions
S. A. Brykalov
p. 749-757
Uniqueness of the determination of the distortions of a crystalline lattice by the x-ray diffraction method in a continuous dynamical model
M. V. Klibanov
p. 757-765
Partial localization of limit sets and the asymptotic stability of nonautonomous equations. II
L. B. Knyazhishche
;
N. A. Raptunovich
p. 765-774
Unbounded solutions of second-order linear differential equations with retarded argument
D. V. Paatashvili
p. 774-780
Reduction of linear finite-difference equations to differential equations
R. A. Prokhorova
p. 780-785
A pursuit method in linear differential games with integral constraints on the controls
A. T. Rakhmanov
p. 785-790
The problem of the center and focus for analytic systems with a zero linear part. I
A. P. Sadovskii
p. 790-799
Solutions of an equation of Emden--Fowler type
F. Zh. Sadyrbaev
p. 799-805
Properties of solutions of a boundary value problem that arises in combustion theory
B. L. Shekhter
p. 805-815
Smoothness of the solution of the Tricomi problem for equations of mixed type
A. B. Bazarbekov
p. 816-822
A three-dimensional analogue of the Cauchy--Riemann system for analytic functions of two complex variables
V. E. Balabaev
p. 823-833
On the uniqueness of the solution of a problem from the wave theory of mechanical shock
S. I. Gaiduk
;
G. M. Zayats
p. 833-839
Boundary value problems for elliptic systems in domains with a piecewise-smooth boundary
N. A. Zhura
p. 839-843
Smoothness of parabolic Pagni potentials. III. Proof of a theorem on the smoothness of a Pagni parabolic potential of a simple layer
L. I. Kamynin
p. 843-860
Dual methods for solving boundary value problems for systems of elliptic equations
V. F. Koshchy
;
A. I. Ropavka
p. 861-867
An initial-boundary value problem for a degenerate parabolic equation with a variable time direction
T. P. Rudneva
p. 867-875
On the theory of a class of linear integro-differential equations
È. I. Grudo
p. 876-884
The reduction method for the approximate solution of systems of singular integral equations with vanishing symbols on a closed Lyapunov contour
V. A. Zolotarevskii
p. 884-888
On an approximate solution of a singular integro-differential equation
I. N. Meleshko
p. 888-897
A multidimensional dual equation of convolution type and its transposition
Yu. I. Cherskii
p. 897-901
On the existence of recurrent solutions of a class of differential equations
A. Yu. Aleksandrov
p. 902-903
Asymptotic behavior of nearly discontinuous solutions of singularly perturbed autonomous systems of ordinary differential equations in a neighborhood of a bifurcation point
Л. А. Bakaleynikov
;
Yu. A. Polovko
p. 903-906
On the structure of attracting compacta
S. A. Bogatyi
;
V. I. Guţu
p. 907-909
Application of an integral transformation to the solution of a mixed problem for a nonclassical equation
E. A. Gasymov
p. 909-911
Exact and approximated formulas for the inversion of a multiple integral with Cauchy kernels
M. A. Sheshko
;
G. A. Rasolko
p. 911-915
Sommaire du
Fascicule no. 6
A topological invariant in pursuit problems
P. A. Golovach
p. 923-929
Construction of sequences of multiple-period-increase bifurcations of solutions of nonlinear ordinary differential equations
V. I. Guliaev
;
A. L. Zubritskaya
;
V. L. Koshkin
p. 929-933
Preserving the sign of the Green function of a two-point boundary value problem for an
$n$
th-order functional-differential equation
A. I. Domoshnitskii
p. 934-937
Control of programmed motion with respect to some of the coordinates
R. G. Mukharlyamov
p. 938-942
Examples of perturbations of invariant manifolds
G. S. Osipenko
p. 943-950
The problem of the center and focus for analytic systems with a zero linear part. II
A. P. Sadovskii
p. 950-956
The averaging method in some boundary value problems
A. M. Samoilenko
;
R. I. Petrishin
p. 956-964
The existence of nonzero solutions of a boundary value problem that arises in combustion theory
B. L. Shekhter
p. 964-974
A new approach to studying boundary value problems with generalized
$L_2$
solutions
N. Yu. Kapustin
p. 975-982
Properties of the structures of magnetic surfaces in plasma
L. M. Kovrizhnykh
;
D. P. Kostomarov
;
D. Yu. Sychugov
;
S. V. Shchepetov
p. 983-989
Nonlinear diffusion and the stratification process
Yu. P. Krasovskii
p. 989-993
A problem of optimal variable control for the heat conduction process
A. D. Mamedov
p. 994-1000
An inverse problem for a second-order differential equation in a Banach space
D. G. Orlovskii
p. 1000-1009
Boundary value problems for a degenerate parabolic-hyperbolic equation
A. Sopuev
;
D. T. Dzhuraev
p. 1009-1015
The Dirichlet problem for second-order elliptic equations in a half-space in a class of functions of polynomial growth
N. E. Tovmasyan
p. 1015-1023
A Carleman-Vekua equation with a singular point
A. Tungatarov
p. 1024-1028
A nonstandard boundary value problem that contains a small parameter
M. Yu. Yunusov
p. 1028-1035
Some boundary value problems for elliptic equations whose order degenerates
A. Yanushauskas
p. 1035-1042
Averaging of elastoplastic media in the case of bulk loads
O. O. Barabanov
p. 1043-1045
Necessary conditions of Copa--Moir type for a Goursat--Darboux system
E. E. Barbashina
p. 1045-1047
Integration in closed form of a class of Fuchsian equations and its applications
È. N. Bereslavskii
p. 1048-1050
An estimate for the rate of convergence of successive Chaplygin approximations for a parabolic system of functional-differential equations
S. Bzhyhchy
p. 1050-1052
Asymptotic similarity of sets and polynomials
M. Kh. Lantsman
p. 1052-1053
The basis property of root functions of operators with multipoint boundary conditions
I. S. Lomov
p. 1053-1056
Quadratic zero-systems of differential equations
V. A. Lunkevich
;
K. S. Sibirskii
p. 1056-1058
On the structure of the pre-image of zero of a nonnegative solution of a homogeneous equation with a biharmonic principal part
P. V. Nikolenko
p. 1058-1059
Existence of tangential
$O$
-curves of an algebroid system of differential equations in some degenerate cases
V. P. Nozdracheva
p. 1059-1062
An initial-value problem for some singular hyperbolic equations and WKB-estimates for its solutions
G. R. Oganesyan
p. 1062-1064
A new case of integrability by quadratures of the general Riccati equation
H. B. Pophristov
;
G. A. Krystev
On the bifurcation of an invariant torus
$\mathbf T^m\to\mathbf T^{m+1}$
V. P. Ruzaev
p. 1066-1069
On the number of polynomial solutions of various degrees of algebraic differential equations
V. N. Gorbuzov
;
A. A. Krushelnitsky
p. 1069-1071
Asymptotic behavior of solutions of a nonlinear second-order differential equation in a special case
N. G. Drik
p. 1071-1072
The disappearance of the reducibility property in systems with quasiperiodic coefficients
V. S. Pronkin
p. 1073-1075
The regularized trace of an operator with a weak singularity
V. A. Rastorguev
p. 1075-1078
Two-mode bifurcation of solutions of the von K\'arm\'an equation
Yu. I. Sapronov
p. 1078-1081
Optimality of singular controls in systems with delay that are controllable by means of initial functions
K. B. Mansimov
p. 1081-1084
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 1085-1096
Sommaire du
Fascicule no. 7
Properties of Green's function of the Sturm--Liouville operator and their applications
A. T. Bulabaev
;
M. Otelbaev
;
L. A. Shuster
p. 1107-1114
A class of inverse boundary value problems for Sturm--Liouville operators
I. M. Guseinov
;
I. M. Nabiev
p. 1114-1120
A uniform estimate for the order of associated functions, and the distribution of eigenvalues of a one-dimensional Schr\"odinger operator
L. V. Kritskov
p. 1121-1129
A priori boundedness of derivatives for a system of differential inequalities
A. Ya. Lepin
p. 1129-1135
An analytic solution of a problem of optimizing an approach process
A. B. Ovcharov
p. 1136-1141
Comparison theorems for equations on graphs
Yu. V. Pokornyi
;
O. M. Penkin
p. 1141-1150
Classification and properties of solutions of the equation
$Ax'+Bx=f(t)$
A. G. Rutkas
p. 1150-1155
Absolute and uniform convergence of expansions in root functions of a nonlocal boundary value problem of the first kind
T. A. Samarskaya
p. 1155-1160
Optimal quadrature formulas on the solution sets of boundary value problems
R. M. Aliev
p. 1161-1171
A class of numerical methods for solving stiff systems
V. V. Bobkov
;
P. A. Mandrik
p. 1171-1176
Iterative reduction of a mixed boundary value problem to the Dirichlet problem
P. N. Vabishchevich
p. 1177-1183
Applicability of one-particle approximation in a problem of the evolution of beams of charged particles in a longitudinal magnetic field
S. A. Vavilov
;
D. A. Ovsyannikov
p. 1183-1187
Numerical calculations of temperature waves with weak discontinuities on nets with dynamic adaptation
V. F. Vasilevskii
;
V. I. Mazhukin
p. 1188-1193
An approach to the solution of systems of implicit difference equations of magnetohydrodynamics
V. A. Gasilov
p. 1193-1200
An implicit difference scheme for problems in gas dynamics and magnetogasdynamics
V. A. Gasilov
;
S. I. Tkachenko
p. 1200-1208
The rate of convergence of the Rothe--Galerkin method for a nonclassical system of differential equations
S. E. Zhelezovsky
;
V. Ph. Kirichenko
;
V. A. Krys'ko
p. 1208-1219
Numerical methods for problems of stimulating chemical reactions in a gas by a light pulse
I. G. Zakharova
;
Yu. N. Karamzin
;
S. V. Polyakov
;
V. A. Trofimov
p. 1219-1227
An approximate method for solving a stationary conjugate problem of heat and mass transfer
M. I. Izteleuov
;
Sh. S. Smagulov
p. 1227-1232
Numerical solution of a system of partial differential equations with a small parameter multiplying the derivative
N. I. Kozlov
;
A. I. Kondrat'eva
;
I. G. Krutikova
;
V. I. Pan'kov
;
S. V. Rusetskii
p. 1233-1240
Accuracy of a difference scheme for quasilinear elliptic equations in a rhombus with solutions in the class
$W_2^k(\Omega)$
,
$1$
V. L. Makarov
;
S. V. Makarov
p. 1240-1249
A scheme of fourth-order accuracy in a spectral problem for an equation with a mixed derivative
V. G. Prikazchikov
;
Zh. P. Allanazarov
p. 1250-1255
Reciprocal transformations and their invariants
E. V. Ferapontov
p. 1256-1265
Determination of the right-hand side of an abstract parabolic equation with additional conditions
L. Sh. Abdulkerimov
p. 1266-1267
An initial value problem for second-order ordinary differential equations with singularities
M. M. Ad'yutov
;
Yu. A. Klokov
p. 1268-1270
The structure of the phase space of the Duffing equation
Z. S. Batalova
;
N. A. Ezhevskaya
p. 1270-1271
A simple proof of Goka's conjecture
L. N. Gurvits
Eigenfunctions of infinite-order differential operators in a class of entire functions
Yu. V. Kozitskii
;
N. O. Mel'nik
p. 1273-1275
Symmetries of the Birkhoff equations, and conservation laws
R. P. Malayshka
p. 1275-1277
Problems of the nonuniqueness of solutions of the system of Euler differential equations in nonintegrable cases
S. A. Myzgaeva
;
A. I. Yablonskii
p. 1277-1278
Integral representations and boundary value problems for a class of systems of differential equations of elliptic type with singular manifolds
N. Radjabov
;
A. B. Rasulov
p. 1279-1281
Sommaire du
Fascicule no. 8
The ``freezing'' method for nonlinear equations
M. I. Gil'
p. 1291-1297
A nonlocal boundary value problem of the first kind in a differential and a difference treatment
D. M. Dovletov
p. 1297-1307
An inequality of Hilbert type in a system of eigen- and associated functions of a second-order differential operator for odd and even functions
H. M. Karov
p. 1307-1312
Stability of functional-differential inclusions
A. A. Levakov
p. 1312-1321
Nonlocal boundary value problems for ordinary differential equations
Yu. V. Pokornyi
;
K. P. Lazarev
;
T. M. Gareeva
p. 1321-1332
Frequency criteria for the stability and instability of linear periodic systems
A. V. Savkin
p. 1332-1339
Asymptotics of the spectral function of a discrete operator
V. A. Sadovnichii
;
V. V. Dubrovskii
;
A. V. Nagornyi
p. 1340-1344
A variational approach to nonresonance problems for semilinear equations in a Hilbert space
S. A. Terziyan
p. 1344-1349
A singular differential equation with a small parameter in the case of a variable bounded operator coefficient
V. I. Fomin
p. 1350-1354
A nonlocal boundary value problem for hyperbolic-parabolic equations
G. D. Karatoprakliev
p. 1355-1359
The Cauchy problem for evolution equations of fractional order
A. N. Kochubei
p. 1359-1368
On the behavior of solutions of some semilinear elliptic and parabolic inequalities
D. I. Kristev
p. 1368-1374
A mixed problem for a degenerate equation of plate oscillation type
S. P. Lavrenyuk
p. 1375-1383
Lower bounds on the Green function of the second mixed problem for a second-order parabolic equation
A. V. Lezhnev
p. 1383-1393
Isolation of a generalized solution of the Cauchy problem for a system of equations of gas dynamics without convexity conditions
G. N. Pazin
p. 1394-1400
On the Riemann--Hilbert boundary value problem (
$L_2$
-theory)
M. M. Sirazhudinov
p. 1400-1406
Optimal control of objects that can be described by quasilinear elliptic equations
M. I. Sumin
p. 1406-1416
On the problem of the motion of an ideal fluid in an unbounded elastic basin
A. Collar
p. 1417-1426
Limit transitions in optimal control problems for a fourth-order operator
A. M. Khludnev
p. 1427-1435
An integral representation of solutions of the Moisil--Teodorescu system with singularities in the small terms
A. Abdushukurov
p. 1436-1439
The regularized trace of the Sturm--Liouville operator
T. G. Amangil'din
p. 1439-1441
A boundary value operator with a condition at infinity for third-order equations
S. A. Bespalova
;
Yu. A. Klokov
p. 1441-1443
On an estimate for the modulus of the solution of a nonlinear system of functional-differential equations of parabolic type
S. Bzhyhchy
p. 1444-1446
Stability of almost periodic systems with respect to some of the variables
A. O. Ignatyev
p. 1446-1448
Application of the normalization method to the study of the dynamics of a differential-difference equation with a small factor multiplying the derivative
S. A. Kashchenko
p. 1448-1451
A frequency criterion for instability in the large of nonlinear dynamical systems
M. I. Lapachugina
;
G. A. Leonov
p. 1451-1453
Decomposition in dynamic problems with mixed constraints
I. S. Litvinchev
p. 1453-1457
A stable method for determining pseudo-solutions of nonlinear equations with monotone operators
I. P. Ryazantseva
p. 1457-1459
Generalization of the method of characteristics for a nonlocal quasilinear equation
S. M. Samarina
p. 1459-1462
Solvability of a discrete equation of convolution type with variable coefficients
A. I. Tuzik
p. 1462-1464
Поправки к~статье H.~И.~Гаврилова: VII всесоюз. конф. «Качественная теория дифференциальных уравнений», 3--7 апр. 1980~г.
A. K. Gushchin
;
Yu. N. Drozhzhinov
;
V. M. Millionshchikov
;
V. P. Mikhailov
Sommaire du
Fascicule no. 9
Optimal universal strategy in a linear differential game
N. D. Botkin
p. 1475-1480
On a problem of Cesari
E. V. Voskresenskii
p. 1480-1485
On the structure of a stable compact invariant set and a bounded invariant domain of an autonomous complex analytic system
I. L. Zinchenko
p. 1485-1495
Estimates for a minimal rank of finite-dimensional perturbations of Green operators
G. G. Islamov
p. 1496-1503
Generalized eigenvalue problems and strongly nonlinear self-induced oscillations
V. R. Kardashov
p. 1503-1508
Controllability of linear singularly perturbed systems with delay
T. B. Kopeikina
p. 1508-1518
On the extension of extremal problems that are connected with controllable elliptic systems
A. I. Korotkii
p. 1518-1522
Lower and upper bounds for solutions of some classes of first-order differential equations
G. S. Krechetov
p. 1523-1526
Application of theorems on the perturbation of invariant manifolds
G. S. Osipenko
p. 1526-1532
Uniformly structurally stable sequences of Hill equations with periodic coefficients
N. S. Fal'ko
p. 1532-1540
Reconstruction of higher-order differential operators
V. A. Yurko
p. 1540-1550
Boundary value problems for the two-dimensional wave equation in a characteristic cone
A. B. Bazarbekov
p. 1551-1556
Uniqueness of solutions of fundamental problems in elasticity theory for infinite domains
T. V. Buchukuri
;
G. T. Gegelia
p. 1556-1565
The Cauchy problem for some quasilinear parabolic equations that are not solvable with respect to the time derivative
A. L. Gladkov
p. 1565-1572
Smoothness of solutions of irregular equations
V. V. Kornienko
p. 1572-1577
Solvability of an inverse problem of determining a source, with overdetermination on the upper cap, for a parabolic equation
V. V. Solov'ëv
p. 1577-1583
Solution of contact problems in creep theory
Sh. A. Alimov
;
T. Sh. Shirinkulov
p. 1584-1588
Solvability of boundary value problems for a class of integro-differential equations on the half-axis
V. V. Vlasov
p. 1589-1599
On the theory of Volterra equations
E. S. Zhukovskii
p. 1599-1605
The Cauchy problem for a singularly perturbed integro-differential equation with a nonstable spectrum
L. I. Novakovskaya
p. 1606-1611
A generalized collocation method for integral equations of the third kind
N. S. Gabbasov
p. 1612-1614
Some variants of the Frankl' problem for the Lavrent'ev--Bitsadze equation in a half-plane
O. M. Dzhokhadze
p. 1614-1618
Positivity of the Cauchy matrix of a linear periodic system
A. I. Zeifman
p. 1618-1619
A boundary value problem with a shift for a fourth-order degenerate quasilinear hyperbolic equation
Kh. K. Zhemukhov
p. 1619-1622
Schemes of increased accuracy for an elliptic equation with a mixed derivative
V. G. Prikazchikov
;
G. K. Berikelashvili
p. 1622-1624
Impulse control of systems with delay
A. M. Rodionov
p. 1624-1626
An estimate for the rate of convergence of difference approximations and regularization of a problem of optimal control for a second-order differential equation
R. K. Tagiyev
p. 1626-1629
Small perturbations of a singular differential equation with a constant unbounded operator coefficient
V. I. Fomin
p. 1629-1630
An exponential estimate for solutions of linear systems with delay with arbitrary deviation of the argument
D. Ya. Khusainov
p. 1631-1633
Nonautonomous dynamical systems with convergence
D. N. Cheban
p. 1633-1635
Solution of the wave equation with an oblique derivative on the boundary
A. Yu. Chinilov
p. 1635-1637
Integro-summary inequalities for functions of several independent variables
S. D. Borisenko
p. 1638-1641
Mary Lucy Cartwright
N. P. Erugin
p. 1642-1646
Sommaire du
Fascicule no. 10
Inequalities between auxiliary and central exponents
T. Sh. Abakirov
p. 1659-1662
Necessary conditions for the simultaneous behavior of higher sigma-exponents of a triangular system and systems of its diagonal approximation
E. A. Barabanov
p. 1662-1670
Binary algorithms for controlling a class of indeterminate dynamical systems with delay
S. V. Emel'yanov
;
S. K. Korovin
;
I. G. Mamedov
;
A. L. Nersisyan
p. 1670-1679
Second-order differential equations in variational derivatives
V. G. Zadorozhniy
p. 1679-1683
The property of invertibility of linear differential-difference operators in some spaces of functions on the axis
Yu. I. Zubko
;
V. M. Tyurin
p. 1683-1687
Asymptotic optimization of linear singularly perturbed control systems
A. I. Kalinin
p. 1687-1698
Asymptotic stability of singularly perturbed differential equations
M. I. Markechko
p. 1698-1705
Approximation subsystems of a dynamical system of shifts
A. I. Panasyuk
p. 1705-1715
Stochastic functional-differential equations with respect to a semimartingale
A. E. Rodkina
p. 1716-1721
Pseudolinear matrix pencils and systems of linear differential equations with meromorphic coefficients
V. V. Sergeichuk
p. 1721-1727
Hypergeometric series and Fuchsian systems
Kh. A. Chikhanov
p. 1727-1730
Periodic solutions of some inhomogeneous evolution differential equations on Riemannian manifolds
A. B. Antonevich
;
Dang Khanh Hoi
p. 1731-1736
Uniqueness of a solution of boundary value problems of scattering with complex periodic potentials
V. F. Badjukov
p. 1736-1746
Boundary value problems in elasticity theory with concentrated singularities
T. V. Buchukuri
;
T. G. Gegelia
p. 1746-1755
A difference method for solving a class of hyperbolic equations with degenerate order
R. I. Semerdzhieva
p. 1755-1766
The second boundary value problem for elliptic differential-difference equations
A. L. Skubachevskii
;
E. L. Tsvetkov
p. 1766-1776
Discrete equations of convolution type with monotone nonlinearity
S. N. Askhabov
;
N. K. Karapetyants
p. 1777-1784
Some boundary value problems on a half-axis for a class of integro-differential equations
V. V. Vlasov
p. 1784-1787
Bounded and almost periodic solutions of linear integral equations. I
V. F. Pulyaev
p. 1787-1798
Asymptotic regularization of integral operators of the first kind with power singularity
V. A. Strizhkov
p. 1798-1805
On periodic solutions of nonlinear hyperbolic systems in a strip
S. V. Zhestkov
p. 1806-1807
Quasistationary solutions of nonlinear autonomous systems
A. S. Silbergleit
p. 1807-1809
A theorem on the convergence of complex analytic systems
I. L. Zinchenko
p. 1809-1810
The behavior of solutions of a perturbed homogeneous system of second-order differential equations
M. A. Ivanov
p. 1810-1812
Properties of root functions of some differential operators
E. A. Larionov
p. 1812-1815
Functional equations for analytic and harmonic functions
V. V. Mityushev
Analytic solutions of a system of nonlinear autonomous differential equations with deviating arguments
A. N. Murovtsev
p. 1817-1819
On the exponential characteristic of a Volterra integral operator with periodic kernel depending on four variables
L. K. Orlik
p. 1819-1821
Efficient improvement of the accuracy of calculating eigenvalues
V. G. Prikazchikov
p. 1821-1823
Limit cycles and boundedness of a dynamical system
V. V. Stolyarov
p. 1823-1824
Asymptotic behavior of solutions of linear systems with small perturbations
Ya. Fodor
p. 1824-1826
The WKB method
N. A. Chernyavskaya
;
L. A. Shuster
p. 1826-1829
Investigation of an approximate solution of the second Painlev\'e equation
N. A. Lukashevich
;
V. N. Orlov
p. 1829-1832
The Riesz basis of a system of sines
M. A. Mustafin
p. 1832-1833
Sommaire du
Fascicule no. 11
Solvability of boundary value problems for functional-differential equations with Lipschitz nonlinearities
A. R. Abdullaev
p. 1843-1848
Stability of some control systems with aftereffect
I. M. Anan'evskii
;
V. B. Kolmanovskii
p. 1848-1852
A general method for searching for solutions with infinite limit values of components in autonomous differential systems with rational right-hand sides
T. S. Bud'ko
;
A. I. Yablonskii
p. 1852-1856
Solution of a problem of the center ``in the large'' for a general quadratic differential system
Bularas Driss
;
N. I. Vulpe
;
K. S. Sibirskii
p. 1856-1862
Boundedness of the number of orthogonal solutions of the equation
$-u''+q(x)u=\lambda u$
V. E. Volkov
p. 1862-1866
On the structure of the solutions of a periodic Pfaffian system with two purely imaginary roots in the characteristic equation
È. I. Grudo
p. 1867-1872
Some applications of the theory of an abstract functional-differential equation. I
G. G. Islamov
p. 1872-1881
The spectral function of a second-order functional-differential operator
È. Kadelburg
;
M. Martinovič
p. 1882-1888
A problem of Pontryagin
A. Yu. Kolesov
;
E. F. Mishchenko
p. 1888-1891
Optimal solution of operator equations when the initial data are of finite dimension
V. L. Kolyadin
;
V. F. Kravchenko
p. 1891-1897
Differential equations with deviating argument that have the properties
$A$
and
$B$
R. G. Koplatadze
p. 1897-1909
Limit sets for trajectories of dynamical polysystems
N. N. Petrov
;
I. S. Han
p. 1910-1915
On the theory of reducible functional-differential It\^o equations
A. V. Ponosov
p. 1915-1925
Nonlinear differential equations in a class of functions of bounded variation
A. N. Sesekin
p. 1925-1932
Irreducibility of the Schr\"odinger equation with quasiperiodic potential
Yu. B. Suris
p. 1932-1941
New formulas for the approximate solution of a one-dimensional wave equation
N. E. Tsapenko
p. 1941-1946
Controllability of systems with distributed parameters that can be described by
$m$
th-order Goursat--Darboux systems
P. Burgmeier
p. 1947-1956
The basis property of systems of root functions of nonselfadjoint operators, and integrability of nonlinear evolution systems that are associated with the Lax representation. I
V. A. Il'in
;
K. V. Mal'kov
;
E. I. Moiseev
p. 1956-1970
Regularization of variational inequalities with pseudomonotone operators on approximately defined domains
O. A. Liskovets
p. 1970-1977
Boundary value problems for degenerate and nondegenerate hyperbolic systems
V. A. Malovichko
p. 1977-1981
Solvability of the first mixed problem for a second-order parabolic equation with discontinuous coefficients
V. M. Mirzoev
p. 1981-1990
Diffraction of waves by a tri-axial ellipsoid
M. V. Fedoryuk
p. 1990-1995
Eigenfunctions and eigenvalues of a nonselfadjoint operator
T. S. Aleroev
;
B. I. Aleroev
p. 1996-1997
A class of integro-difference equations with oscillating coefficients
A. B. Antonevich
;
I. Khodzhai
p. 1997-1999
The Hausdorff dimension of attractors of the Lorenz system
V. A. Boichenko
;
G. A. Leonov
p. 1999-2000
On a connection between maximum principle and dynamic programming in systems with delay
L. E. Zabello
;
V. S. Smorodin
p. 2001-2002
On the theory of controllability of systems with aftereffect in functional spaces involving constraints on the control
S. A. Minyuk
p. 2003-2004
Some topological properties of generalized solutions of nonlinear control systems
V. E. Pak
;
A. G. Chentsov
p. 2004-2005
Asymptotics of solutions of boundary value problems for quasilinear singularly perturbed systems
N. G. Panfilov
;
V. I. Rozhkov
p. 2005-2008
On a generalization of Steklov's decomposability theorem to the case of nonlocal boundary conditions
T. A. Samarskaya
p. 2008-2010
On the existence of a polynomial Lyapunov function
A. Yu. Uteshev
p. 2010-2013
Controllability of linear Cauchy--Kovalevskaya systems with constant coefficients
O. V. Khramtsov
p. 2013-2014
Sufficient conditions for the center for a two-dimensional autonomous system with cubic right-hand sides
A. S. Shube
p. 2014-2016
Topological equivalence of quasihomogeneous systems of differential equations
M. A. Ivanov
p. 2016-2017
Sommaire du
Fascicule no. 12
Aleksandr Andreevich Samarski{\v\i} (on the occasion of his seventieth birthday)
A. A. Arsen'ev
;
A. V. Bitsadze
;
A. A. Dorodnitsyn
;
S. V. Emel'yanov
;
N. P. Erugin
;
V. A. Il'in
;
S. P. Kurdyumov
;
A. N. Tikhonov
p. 2027-2043
On the solvability of boundary value problems in the resonance case
A. R. Abdullaev
;
A. B. Burmistrova
p. 2044-2048
On the theory of the maximum principle in problems with delays
A. V. Arutyunov
;
M. D. Mardanov
p. 2048-2058
Criteria for the asymptotic stability of systems of differential equations with periodic coefficients
N. E. Barabanov
p. 2059-2066
A nonlinear boundary value problem with break points of solutions
S. A. Brykalov
p. 2066-2075
Investigation of the solvability of a class of boundary value problems with a free boundary
S. A. Vavilov
p. 2075-2081
Estimates for the solutions of systems of nonlinear diffusion equations
M. I. Gil'
p. 2082-2090
Asymptotic and oscillation properties of first-order linear scalar functional-differential equations
S. A. Gusarenko
;
A. I. Domoshnitskii
p. 2090-2103
Asymptotic behavior of the solutions of the Lorenz system
G. A. Leonov
p. 2103-2109
Simple systems and periodic solutions of differential equations
V. I. Mironenko
p. 2109-2114
Conditions for the dissipativity of an
$n$
th order equation
B. N. Skachkov
p. 2114-2117
On the existence of an averaged differential inclusion
O. P. Filatov
p. 2118-2127
Asymptotic approximation of the solution of a singularly perturbed parabolic two-dimensional problem with a nonsmooth limit solution
V. F. Butuzov
;
V. Yu. Buchnev
p. 2128-2133
The basis property of systems of root functions of nonselfadjoint operators, and integrability of nonlinear evolution equations that are associated with the Lax representation. II
V. A. Il'in
;
K. V. Mal'kov
;
E. I. Moiseev
p. 2133-2143
Boundary value problems and properties of solutions for third-order equations
A. I. Kozhanov
p. 2143-2153
On the existence and uniqueness of the solution of a singular problem in the mathematical theory of diffraction
F. G. Mukhlisov
p. 2154-2164
An inverse initial-boundary value problem for the nonlinear Navier--Stokes system in the case of final overdetermination
A. I. Prilepko
;
I. A. Vasin
p. 2164-2177
On the second boundary value problem for a parabolic system with one space variable
V. A. Tveritinov
p. 2178-2179
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 2180-2191