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Differencialʹnye uravneniâ
Tome 27 (1991)
Précédent
Suivant
Sommaire du
Fascicule no. 1
Boundary properties of integrals of Cauchy type. The
$L_p$
case
A. V. Aleksandrov
;
A. P. Soldatov
p. 3-8
Analytic continuations of solutions of boundary value problems for the stationary wave equation
V. F. Apel'tsin
p. 8-17
A parabolic boundary value problem in a domain of simple form
E. A. Baderko
p. 17-22
Spinor systems
V. S. Vinogradov
p. 22-29
Stabilization of the solution of the Cauchy problem for the iterated heat equation
V. N. Denisov
p. 29-42
The Lavrent'ev effect and averaging of nonlinear variational problems
V. V. Zhikov
p. 42-50
A nonlocal boundary value problem for a stationary Stokes system in a multiply connected domain
N. A. Zhura
p. 51-59
Solution of a problem in the theory of the Frankl' problem for equations of mixed type
N. Yu. Kapustin
;
K. B. Sabitov
p. 60-68
A nonlocal boundary value problem for an equation of mixed type
M. G. Karatopraklieva
p. 68-79
The basis property of root vectors of loaded second-order differential operators on an interval
I. S. Lomov
p. 80-93
Solution of degenerate equations by means of biorthogonal series
E. I. Moiseev
p. 94-103
Local solvability of differential equations in spaces of multivalued analytic functions
V. E. Nazaikinskii
;
B. Yu. Sternin
;
V. E. Shatalov
p. 103-114
Determination of the evolution of a parameter in an abstract parabolic equation
A. I. Prilepko
;
D. G. Orlovskii
p. 114-120
On the scattering problem for the Schr\"odinger operator with singular potential in the two-dimensional case. II
V. S. Serov
p. 120-128
The method of cut-off functions in the theory of nonlocal problems
A. L. Skubachevskii
p. 128-139
The method of operator pencils in boundary value problems of conjugation for a system of elliptic equations
Yu. G. Smirnov
p. 140-147
Nonlinear hyperbolic systems with two independent variables
D. V. Tunitsky
p. 147-155
Bi-orthogonal expansions of a nonselfadjoint Schr\"odinger operator
R. R. Ashurov
p. 156-158
Necessary and sufficient condition for the completeness of a system of functions
B. T. Bilalov
p. 158-161
On the asymptotic behavior with respect to the small parameter of solutions of a fourth-order nonlinear evolution system that admits an
$L$
-
$A$
representation
A. V. Il'ina
p. 161-163
Finiteness of the number of conditions for the agreement of the Cauchy problem for overdetermined systems of linear differential equations
M. V. Korovina
p. 163-164
Limit relations between solutions of some equations of hyperbolic, parabolic and elliptic types
V. D. Repnikov
p. 165-167
On the membership in class
$V_2^{1,0}$
of the classical solution of a mixed problem for second-order parabolic systems
È. K. Safiev
p. 167-169
The Neumann problem for the biharmonic equation
Choi Sung Bong
p. 169-172
A problem of contact heat conduction
V. N. Sheveleva
p. 172-174
Convergence of the collocation and the quadrature-interpolation method for singular integro-differential equations on a Lyapunov contour
V. N. Seichuk
p. 174-178
Sommaire du
Fascicule no. 2
Conditions for complete controllability and observability of discrete two-parameter systems
I. V. Gaishun
;
V. Q. Hoang
p. 187-193
An exponential representation of solutions of a linear matrix differential equation
S. A. Mazanik
p. 193-200
Periodic solutions of linear singularly perturbed systems with certain singularities
V. I. Rozhkov
p. 200-207
The properties of an ideal that is generated by Lyapunov quantities
V. G. Romanovsky
p. 207-219
Game-theoretic problems on the control of pencils of trajectories
N. Yu. Satimov
p. 219-228
The topological properties of an integral funnel of a differential inclusion with a Lipschitz right-hand side
G. V. Smirnov
p. 228-238
Conditions for the existence of a singular value of the parameter of a system of ordinary differential equations
M. T. Terekhin
p. 238-242
On the solvability of the Cauchy problem with an initial function that arbitrarily increases at infinity for some degenerate quasilinear parabolic equations
A. L. Gladkov
p. 243-250
Applications of parabolic Pagni potentials to boundary value problems in mathematical physics. II
L. I. Kamynin
p. 250-263
Uniqueness of the solution of a linear problem on steady oscillations of a fluid
N. G. Kuznetsov
p. 264-272
Maximum modulus principles for some classes of second-order elliptic and hyperbolic systems
K. B. Sabitov
p. 272-278
A mixed-contact boundary value problem for elliptic systems
A. P. Soldatov
p. 279-287
Construction of integral representations for some forms of equations in formal derivatives
N. T. Stel'maschuk
;
V. A. Shilinec
p. 288-294
The Cauchy problem for equations of wave packets in a curved dielectric cylinder
R. P. Tarasov
p. 294-303
The gradient method for optimal control of distributed systems
V. K. Tolstykh
p. 303-312
Strictly hyperbolic higher-order equations in
$L^p(\mathbf R^n)$
,
$1$
M. I. Èfendiev
p. 312-320
Nonlinear integral equations of convolution type with almost increasing kernels in cones
S. N. Askhabov
;
M. A. Betilgiriev
p. 321-330
Boundary integral equations of the potential of a simple layer on a plane of cylindrical variables
Yu. I. Mokin
p. 331-344
Cubic null-systems of differential equations
V. A. Baltag
p. 345-347
On the violation of the equiconvergence of Fourier series that are connected with pencils of ordinary differential operators, and of trigonometric series
A. I. Vahabov
p. 347-350
On the stability in a critical case of a zero and a pair of pure imaginary roots of an
$n$
-th order nonautonomous nonlinear equation
I. E. Vitrichenko
p. 350-354
On spaces generated by the zeros of the symbol of some singular integral equations
V. M. Dadiomov
p. 355-357
Bounded solutions of the Cauchy problem in locally convex algebras
O. V. Lopushansky
p. 357-359
Optimization of a class of discrete two-parameter systems
K. B. Mansimov
p. 359-362
Sommaire du
Fascicule no. 3
Auxiliary exponents of exponentially separated systems
T. Sh. Abakirov
p. 371-376
On the question of linear differential inequalities. I
N. V. Azbelev
;
A. I. Domoshnitskii
p. 376-384
Basis properties of eigenfunctions of a regular boundary value problem for a vector functional-differential equation
A. M. Gomilko
;
G. V. Radzievskii
p. 384-396
Solutions of a system of three differential equations with quadratic nonlinearities
V. I. Gromak
;
V. V. Tsegel'nik
p. 396-402
Solvability of equations that are analogues of Bellman equations in a problem of the control of diffusion processes with integral constraints and with incomplete feedback
N. G. Dokuchaev
p. 403-414
Asymptotic invariance of control systems with delay
S. V. Emel'yanov
;
S. K. Korovin
;
I. G. Mamedov
;
A. P. Nosov
p. 415-427
Characteristic exponents of linear systems with Grobman perturbations
N. A. Izobov
p. 428-437
Fragment of a mathematical theory of competition among biological species in a variable environment
V. G. Il'ichev
p. 437-447
Bifurcations of a singular cone of a three-dimensional homogeneous system
V. P. Nozdracheva
p. 447-452
Oscillation of solutions of third-order linear ordinary differential equations
N. N. Khvedelidze
;
T. A. Chanturiya
p. 452-460
On the controllability of linear systems with distributed parameters
B. Sh. Shklyar
p. 461-471
The Cauchy problem for higher-order differential equations with deteriorating operators
E. A. Barkova
;
P. P. Zabreiko
p. 472-478
Integral representation of solutions of a class of degenerate parabolic equations of Kolmogorov type
S. D. Ivasishen
;
L. N. Androsova
p. 479-487
Applications of parabolic potentials to boundary value problems in mathematical physics. I
L. I. Kamynin
p. 487-496
Generalized semilinear hyperbolic Stefan problem on a straight line
V. M. Kirilich
;
A. D. Myshkis
p. 497-503
Analytic solutions of the Cauchy problem
Yu. F. Korobeinik
;
A. B. Mikhailov
p. 503-510
Boundedness of the domain of attraction of a stationary solution of a nonlinear diffusion system of the equations of the dynamics of a controllable reactor
R. S. Makin
p. 511-520
On the existence of semiregular solutions of the first boundary value problem for an equation of parabolic type with a discontinuous nonmonotone nonlinearity
V. N. Pavlenko
p. 520-526
Compactness of the attainability set of a controllable differential inclusion in partial derivatives
A. V. Plotnikov
p. 526-530
Conditions for the well-posedness of two-dimensional mixed problems for hyperbolic systems
A. I. Vahabov
p. 531-533
Construction of polynomial solutions of differential equations with constant coefficients
V. V. Karachik
p. 534-535
Elementary classes of autonomous systems of two differential equations that do not have solutions with movable nonalgebraic singular points
I. N. Klimashevskaya
;
S. G. Kondratenya
p. 535-537
Instability in attractors that are close to two-dimensional surfaces
G. A. Leonov
p. 537-539
A remark on sets of nonregularity of almost periodic linear differential systems
E. K. Makarov
p. 539-541
Single-valued solutions of a class of differential equations
I. P. Martynov
;
V. A. Pron'ko
p. 541-544
Limit cycles of an autonomous system with algebraic right-hand sides
D. S. Ushkho
;
I. V. Chaika
p. 544-546
Sommaire du
Fascicule no. 4
The stability of linear systems with aftereffect. II
N. V. Azbelev
;
L. M. Berezanskii
;
P. M. Simonov
;
A. V. Chistyakov
p. 555-562
Justification of Frommer's method for systems of class
$C^\infty$
A. F. Andreev
p. 562-572
Coefficient conditions for the number and multiplicity of singular points of a quadratic differential system
N. I. Vulpe
p. 572-577
Equiconvergence, with a trigonometric series, of expansions in root functions of the one-dimensional Schr\"odinger operator with complex potential in the class
$L_1$
V. A. Il'in
p. 577-597
On the stable solution of inverse problems for nonlinear distributed systems. II
V. I. Maksimov
p. 597-603
On the theory of the completeness of systems with aftereffect with constraints on the initial conditions
S. A. Minyuk
p. 603-611
Oscillation of solutions of third-order linear ordinary differential equations. II
N. N. Khvedelidze
;
T. A. Chanturiya
p. 611-618
On the existence of smooth solutions of boundary value problems for a class of equations of mixed type
G. D. Dachev
p. 619-627
Applications of parabolic potentials to boundary value problems in mathematical physics. II
L. I. Kamynin
p. 627-641
Stabilization of generalized solutions of degenerate problems in two-phase filtration
A. V. Domanskii
p. 641-648
A boundary value problem for the nonlinear Tricomi equation in three dimensions
N. I. Popivanov
;
M. Schneider
p. 648-655
Doubly periodic generalized analytic functions
D. S. Safarov
p. 656-665
Dual integral equations associated with eigenfunctions of the Steklov problem for a wedge
B. A. Vasil'ev
p. 666-671
New theorems on the solvability of Hammerstein operator and integral equations
P. P. Zabreiko
;
Kh. T. Nguyen
p. 672-682
Quadrature formulas for a singular integral with shift and their applications
I. A. Shakirov
p. 682-691
An existence theorem for the solution of an inverse problem for a hyperbolic system of first-order equations
S. P. Belinskii
p. 692-695
A system of partial differential equations
N. S. Berezkina
;
I. P. Martynov
p. 695-697
On the rate of localization of solutions of the Cauchy problem for equations of parabolic type with degeneration
V. V. Gorodestkii
;
I. V. Zhitaryuk
p. 697-699
Solvability in quadratures of third-order linear ordinary differential equations in the adjoint representation of Lie algebras
V. P. Derevenskii
p. 699-702
A mean-value formula for root functions of the Schr\"odinger operator
V. A. Il'in
;
E. I. Moiseev
p. 702-705
Periodic solutions of some systems of nonlinear differential equations
I. G. Kozubovskaya
p. 705-707
On the dissipativity of a system of two differential equations
V. K. Polivenko
p. 707-709
Backward continuation of solutions of a homogeneous convolution equation of retarded type
A. M. Sedletskii
p. 709-711
A boundary value problem in the disk
E. G. Sitnikova
p. 711-713
Spectral properties of a singular differential operator
A. A. Stakun
p. 713-716
The Cauchy problem for hyperbolic Tricomi equations with initial data not on the line of parabolic degeneration
V. A. Kostin
p. 716-717
Restrictions of an operator by orthogonality conditions imposed on its graph
Yu. K. Lando
p. 717-720
Complete controllability of linear stationary systems with aftereffect
S. A. Minyuk
p. 720-724
Valentin Petrovich Mikhaĭlov (on the occasion of his sixtieth birthday)
V. S. Vladimirov
;
A. K. Gushchin
;
A. A. Dezin
;
Yu. N. Drozhzhinov
;
V. I. Zavialov
;
V. M. Millionshchikov
p. 725-730
Sommaire du
Fascicule no. 5
First-order necessary conditions for abnormal problems in the calculus of variations
E. R. Avakov
p. 739-745
Asymptotic behavior of solutions of differential equations with functional perturbation
E. V. Voskresenskii
p. 745-751
Relaxation oscillations in a system of equations describing the operation of a solid-state laser with a nonlinear element of delaying action
E. V. Grigoryeva
;
S. A. Kashchenko
p. 752-758
Development of Lyapunov's theorem on stability
B. S. Kalitin
p. 758-766
An estimate for the Hausdorff dimension of the attractors of dynamical systems
G. A. Leonov
p. 767-771
Some differential-topological problems in control theory
A. A. Liverovskiy
;
N. N. Petrov
p. 771-777
Linear generalized Lyapunov functions and limit cycles
Yu. V. Malyshev
;
V. P. Zakharov
p. 777-781
Bounded solutions of a Riccati matrix differential equation
A. V. Savkin
p. 781-788
Optimality of generalized (impulse) controls in a nonlinear time-optimality problem
A. V. Sarychev
p. 788-801
Asymptotics of spheroidal functions in the complex domain
M. V. Fedoryuk
p. 801-809
A criterion for the existence of a strong solution of the Tricomi problem for the Gellerstedt equation
A. B. Bazarbekov
p. 810-815
Periodic solutions of a quasilinear telegraph equation
P. P. Zabreiko
;
L. G. Tret'yakova
p. 815-826
Behavior of solutions of quasilinear elliptic systems at a nonregular boundary point
E. A. Kalita
p. 826-836
Application of parabolic potentials to boundary value problems in mathematical physics. III
L. I. Kamynin
p. 836-849
Properties of the eigenfunctions of some singular elliptic operators
A. A. Larin
p. 849-856
The Cauchy problem for a class of systems of quasilinear hyperbolic equations
O. F. Men'shikh
p. 857-866
Weak and strong solutions of inverse problems for differential equations in a Banach space
D. G. Orlovskii
p. 867-874
Stability of the stationary solution of a problem in magnetohydrodynamics
V. L. Pospelov
p. 875-886
On a system of equations in the magnetohydrodynamics of nonlinearly viscous media
V. N. Samokhin
p. 886-896
Convergence of iterative difference schemes for solving a problem of Stefan type
P. A. Vakulchik
;
G. A. Loret de Mola L
p. 897-898
On a method for constructing a solution of a relativistic wave equation
B. A. Volodin
;
A. M. Khapaev
p. 898-901
Solvability in quadratures of second-order matrix differential equations
V. P. Derevenskii
p. 901-904
Necessary optimality conditions for one-dimensional distributed systems with moving boundary
N. N. Ryzhov
p. 904-906
Moving essentially singular points of solutions of the Euler system
A. I. Yablonskii
;
A. F. Korzyuk
;
S. A. Myzgaeva
p. 906-909
On a criterion for joint behavior of higher sigma exponents of a triangular system and the system of its diagonal approximation
E. K. Makarov
p. 910-911
Nikola{\v\i} Fedorovich Otrokov
N. I. Avdonin
;
V. N. Belykh
;
L. N. Belyustina
;
M. V. Dolov
;
Yu. I. Neimark
;
S. F. Morozov
p. 912-913
Mikhail Vasil'evich Fedoryuk
B. R. Vainberg
;
V. A. Il'in
;
L. D. Kudryavtsev
;
V. B. Lidskii
;
V. I. Arnol'd
;
V. P. Maslov
;
E. F. Mishchenko
;
V. Yu. Prikhod'ko
p. 914-915
Sommaire du
Fascicule no. 6
On the question of linear differential inequalities. II
N. V. Azbelev
;
A. I. Domoshnitskii
p. 923-931
On the existence of the cost of differential games with integral constraints
M. Baybazarov
;
V. N. Ushakov
p. 931-941
Polynomial representation of solutions of operator-differential equations of hyperbolic type in a Hilbert space
V. V. Gorodestkii
p. 941-947
On a construction of universal strategies in differential games
V. Ya. Dzhafarov
p. 947-953
On the existence of Grobman spectral sets of positive measure for linear systems
N. A. Izobov
p. 953-957
Stability of the
$k$
th central exponent of a linear system of differential equations
O. G. Illarionova
p. 958-963
Sufficient conditions for optimality on a nonfixed time interval for differential inclusions with delay, and duality
E. N. Makhmudov
p. 964-969
Pointwise completeness of functional-differential equations
A. V. Metel'skii
p. 969-978
Solvability of the Cauchy problem for differential equations in locally convex spaces
V. I. Nazarov
p. 979-988
Control problems and separability axioms
N. N. Petrov
p. 988-994
Stabilization of linear completely integrable Pfaffian systems in the case of scalar control
O. V. Khramtsov
p. 995-1001
An inverse problem in transport theory and properties of a reflection operator
V. I. Agoshkov
p. 1002-1006
Analogues of the Tricomi problem for an equation of mixed parabolic-hyperbolic type with two lines and different order of degeneracy
B. Islomov
p. 1007-1014
An energy inequality for a boundary value problem for a third-order hyperbolic equation with a wave operator
V. I. Korzyuk
p. 1014-1022
The Cauchy problem for operator-differential equations of Fuchsian type
S. I. Maksimovich
;
N. J. Yurchuk
p. 1022-1033
Separability and estimates for the widths of sets connected with the domain of a nonlinear operator of Schr\"odinger type
M. B. Muratbekov
p. 1034-1042
A mathematical model of the Stefan problem
S. P. Okhezin
p. 1042-1048
Construction of a strongly quasiregular kernel of potential for the solution of a spectral problem
T. M. Rasulov
p. 1048-1055
An algebra of pseudodifferential operators with variable analytic symbols and the well-posedness of the corresponding equations
S. R. Umarov
p. 1056-1063
On a positive solution of a quasilinear elliptic equation in
$\mathbf R^n$
E. A. Sheina
p. 1063-1070
Classical solution of a mixed problem for a one-dimensional hyperbolic equation
S. N. Baranovskaya
p. 1071-1073
The existence of the rotation number of the equation
$\dot x=\lambda (t,x)$
with a right-hand side that is periodic in
$x$
and almost periodic in
$t$
V. V. Veremenyuk
p. 1073-1076
Pressure wave propagation under the change of the place of concentrated incidental subpassing
M. A. Guseynzade
;
N. S. Nikol'skaya
;
A. M. Stain
p. 1076-1078
Exponential stability of the Cauchy problem for linear partial differential systems
S. V. Zhestkov
p. 1079-1081
Transformation of partial differential equations with nonseparable variables into a system of two ordinary differential equations
E. G. Zelkin
p. 1081-1084
Poincar\'e's recurrence theorem for complex analytic systems
I. L. Zinchenko
p. 1084-1086
On the behavior of solutions of second order systems of general form in the real domain
S. N. Markov
p. 1086-1087
Meromorphic solutions of first-order differential equations
V. D. Mokhon'ko
;
A. E. Gorbachevskii
p. 1087-1089
The quasi-inversion method for some hyperbolic equations
È. M. Aksen'
p. 1089-1092
On the solution of an equation containing multiple integrals with Cauchy kernels
G. A. Rasolko
;
M. A. Sheshko
p. 1092-1097
Sommaire du
Fascicule no. 7
On a generalization of the Emden equation
M. M. Ad'yutov
;
N. V. Zmitrenko
;
Yu. A. Klokov
p. 1107-1113
Difference methods for solving a boundary inverse problem of heat conduction
P. N. Vabishchevich
p. 1114-1123
Realization and convergence of difference schemes for equations of nonlinear viscoelasticity
L. G. Volkov
p. 1123-1132
The method of adapting grids in a problem on the equilibrium rotation of a barotropic star
S. A. Galkin
;
V. V. Drozdov
;
O. M. Drozdova
p. 1132-1137
The difference method for solving three-dimensional Navier--Stokes equations in a parallelepiped
A. L. Goncharov
;
I. V. Fryazinov
p. 1137-1144
Convergence of the Bubnov--Galerkin method with perturbations for symmetric spectral problems with nonlinear appearance of the parameter
R. Z. Dautov
;
A. D. Lyashko
;
S. I. Solov'ev
p. 1144-1153
Conservative difference schemes in problems of nonlinear optics. I
V. V. Drits
p. 1153-1161
Kinetically consistent difference schemes in curvilinear coordinate systems
T. G. Elizarova
;
S. V. Tsynkov
;
B. N. Chetverushkin
p. 1161-1169
Uniform stability of difference schemes for a nonlocal nonselfadjoint boundary value problem with variable coefficients
N. I. Ionkin
;
D. G. Furletov
p. 1170-1177
Numerical methods for problems of the stimulation of chemical reactions in gases by optical radiation under conditions of developed thermodiffusion
M. I. Kalinichenko
;
Yu. N. Karamzin
;
V. A. Trofimov
p. 1177-1185
Difference schemes for problems of absorption bistability in semiconductors
Yu. N. Karamzin
;
S. V. Polyakov
;
V. A. Trofimov
p. 1185-1196
Solvability of variational problems in the nonlinear theory of shallow shells
M. M. Karchevskii
p. 1196-1203
Unconditional convergence of difference schemes for nonstationary quasilinear equations of mathematical physics
P. P. Matus
;
L. V. Stanishevskaya
p. 1203-1219
Difference schemes and the analysis of approximate solutions for two-dimensional nonstationary problems of coupled electro-elasticity
V. N. Mel'nik
;
M. N. Moskal'kov
p. 1220-1229
Representation of the solution of the Tricomi problem in the form of a biorthogonal series
E. I. Moiseev
p. 1229-1237
A variational approach to the determination of the energy spectrum of bound electrons
N. Yu. Orlov
p. 1237-1245
Approximation of positive
$C_0$
-semigroups of operators
S. I. Piskarev
p. 1245-1250
Autotransformations with respect to the solution, and hydrodynamic symmetries
E. V. Ferapontov
p. 1250-1263
The boundary element method for problems with corner points and mixed boundary conditions
M. M. Khapaev (Jr.)
p. 1263-1267
On the existence of a solitary traveling vortex in a magnetized plasma in the presence of an inhomogeneous electrical field
A. P. Smirnov
;
E. A. Sheina
p. 1268-1270
Branching off of spatially inhomogeneous periodic solutions from limit cycles of autonomous systems of ordinary differential equations perturbed by small diffusion terms
A. V. Shobukhov
p. 1271-1274
Andre{\v\i} Vasil'evich Bitsadze (on the occasion of his 75th birthday)
A. A. Dorodnitsyn
;
S. V. Emel'yanov
;
V. A. Il'in
;
E. I. Moiseev
;
S. M. Nikol'skii
;
A. A. Samarskii
;
A. N. Tikhonov
p. 1275-1282
Sommaire du
Fascicule no. 8
Classification of limit cycles
V. V. Amel'kin
p. 1291-1296
On the A{\v\i}zerman problem for a second-order system
A. N. Belyaeva
;
I. G. Egorov
p. 1297-1303
On solutions of the fourth Painlev\'e equation and its applications
V. I. Gromak
;
V. V. Tsegel'nik
p. 1303-1312
On the method of Lyapunov functionals for systems with aftereffect
Yu. F. Dolgii
;
A. V. Kim
p. 1313-1318
On the weak observability property for the one-dimensional wave equation with a point nonstationary observation operator
E. K. Kostousova
p. 1318-1325
On the stability in the large of a second-order autonomous system
G. S. Krechetov
p. 1325-1333
Stability of
$\Pi$
-systems
A. A. Levakov
p. 1334-1344
A sufficient condition for optimality for convex differential inclusions with distributed parameters, and duality
E. N. Makhmudov
p. 1344-1357
On the structure of the bifurcation set of bifurcating separatrices
V. S. Medvedev
;
E. L. Fedorov
p. 1357-1363
Derivatives of multivalued mappings and the maximum principle for differential inclusions
L. I. Minchenko
p. 1363-1370
On the theory of the optimal control and filtering of linear stochastic systems of functional-differential equations
S. A. Minyuk
p. 1370-1376
Application of the contour integral method to the solution of a problem on transverse vibrations of a viscoelastic membrane caused by an impact
S. I. Gaiduk
p. 1377-1387
Fundamental solutions of
$B$
-hypo-elliptic equations
I. A. Kipriyanov
;
A. A. Kulikov
p. 1387-1395
On the well-posedness of a one-dimensional single-phase hyperbolic Stefan problem
M. I. Letavin
p. 1395-1402
The Huygens principle for a class of hyperbolic equations with variable coefficients
A. O. Oganesyan
p. 1402-1409
Solution of a problem on heating a two-layer plate by a local heat source
D. B. Potyagailo
;
Ya. P. Romanchuk
p. 1409-1417
Solution of the first boundary value spectral problem for a system of the static theory of elasticity with a complex parameter
T. M. Rasulov
p. 1417-1427
Integral equations with a positive-definite bounded selfadjoint operator for boundary value problems in plane elasticity
V. I. Tarakanov
p. 1427-1436
Eigenfunctions of a quasilinear elliptic operator in
$\mathbf R^n$
E. A. Sheina
p. 1436-1442
Nonlinear periodic systems with a linear Poincar\'e mapping
T. I. Ananich
p. 1443-1444
Construction of Riemann--Hadamard functions for a degenerate equation
V. F. Volkodavov
;
O. K. Bystrova
p. 1444-1446
The unconditional basis property for systems of root functions of the one-dimensional singular Schr\"odinger operator
L. V. Kritskov
p. 1446-1447
The Cauchy problem for third-order hyperbolic operator-differential equations
V. I. Korzyuk
;
N. J. Yurchuk
p. 1448-1450
Asymptotic behavior of the solution of differential equations with integer powers of the small parameter multiplying the derivatives
R. P. Kuzmina
p. 1451-1453
Moving singular points of systems of differential equations that describe genetic models
G. E. Pushkevich
;
A. I. Yablonskii
p. 1453-1456
О~семинаре по качественной теории дифференциальных уравнений в~Московском
p. 1457-1467
Sommaire du
Fascicule no. 9
Controllability of a system of differential equations
S. A. Aisagaliev
p. 1475-1486
Normal solvability of a functional-differential equation with operator coefficients in a Hilbert space
R. G. Aliev
p. 1486-1493
Averaging in a single-frequency system in general position
V. I. Bakhtin
p. 1493-1505
Asymptotic integration of a system of differential equations with a turning point
V. N. Bobochko
p. 1505-1515
Periodic solutions of impulse differential systems in critical cases
A. A. Boichuk
;
N. A. Perestyuk
;
A. M. Samoilenko
p. 1516-1521
Solvability of the Dirichlet boundary value problem for systems of nonlinear ordinary differential equations with singularities
G. D. Gaprindashvili
p. 1521-1525
Exponential representation of solutions of Pfaffian systems (the one-parameter case)
V. A. Golubeva
;
V. P. Leksin
p. 1526-1538
Asymptotics of the eigenvalues of the monodromy operator for periodic systems of differential equations with deviating argument of neutral type
Yu. F. Dolgii
;
N. V. Plastinin
p. 1538-1543
On the stability in the large of the zero solution of a system of two differential equations
I. G. Egorov
p. 1544-1550
A theorem on the unconditional basis property of root vectors of second-order weighted differential operators
I. S. Lomov
p. 1550-1563
Self-induced oscillations in nonlinear systems
E. A. Tomberg
p. 1563-1574
A method for constructing fundamental solutions in scattering problems
V. F. Badjukov
p. 1575-1585
Solvability of boundary value problems for linear loaded equations with nonregular coefficients
M. T. Dzhenaliev (Jenaliyev)
p. 1585-1595
A nonstationary temperature boundary layer in a cross section of a rotating cylinder
M. I. Letavin
;
G. S. Mishuris
p. 1596-1603
On the modeling of control in parabolic variational inequalities
V. I. Maksimov
p. 1603-1609
Solution of a mixed problem for a linearized system of equations of motion of viscoplastic media
T. M. Rasulov
p. 1610-1617
Inverse problems for the nonstationary transport equation in plane-parallel geometry
G. M. Sydykov
;
A. D. Sariev
p. 1617-1625
On the representation of solutions of mixed problems for the nonlinear wave equation by special double series
M. Yu. Filimonov
p. 1625-1632
Construction of dynamical systems in three-dimensional space
S. V. Volkov
p. 1633-1635
A comparison theorem on the uniform oscillation of a linear equation
L. I. Danilov
;
A. G. Ivanov
p. 1636-1637
Modification of V. Volterra's method for studying the asymptotic behavior of solutions of a second-order linear equation
S. Iskandarov
p. 1638-1639
On the composition of operators of generalized fractional integration with a differential operator in axisymmetric potential theory
A. A. Kilbas
;
M. Saigo
;
V. A. Zhuk
p. 1640-1642
On the stability of the Mathieu equation with damping
G. S. Krechetov
p. 1642-1644
Stability of a system of linear differential equations with random coefficients
A. A. Lunin
p. 1644-1646
Integration of the Boussinesq equation on the half-line
V. A. Yurko
p. 1647-1648
On a spline-method for numerical solution of integral equations of the third kind
N. S. Gabbasov
p. 1648-1650
Sommaire du
Fascicule no. 10
The stability of linear systems with aftereffect. III
N. V. Azbelev
;
L. M. Berezanskii
;
P. M. Simonov
;
A. V. Chistyakov
p. 1659-1668
The pseudonormal form of matrices
È. I. Grudo
p. 1669-1673
Quasiperiodic solutions of differential systems with linear independence over
$\mathbf Q$
of the frequency bases of the solution and the right-hand side
A. K. Demenchuk
p. 1673-1679
Integral estimates for ordinary differential equations and their application to nonsmooth problems of optimal control
N. G. Dokuchaev
p. 1679-1691
On the controllability set of a linear almost periodic system
A. G. Ivanov
;
E. L. Tonkov
p. 1692-1699
A third-order equation with a special particular integral
A. V. Kozulin
p. 1699-1703
Classes of equivalent states of linear autonomous functional-differential equations
A. V. Metel'skii
p. 1703-1712
The behavior of spectra of systems with slowly changing coefficients under small random perturbations
Nguyen Dinh Cong
p. 1712-1720
Movable singularities of a cyclic system of differential equations
A. I. Yablonskii
;
Yu. N. Chertoritskii
p. 1720-1724
Solvability of a problem on the evolution of a turbulent spot in a homogeneous fluid on a small time interval
V. N. Grebenev
p. 1725-1733
Classification and reduction to canonical form of third-order partial differential equations
T. D. Dzhuraev
;
Ya. Popelek
p. 1734-1745
On the compactness of integral operators in weighted spaces
P. A. Zharov
p. 1745-1754
Boundary value problems for operator-differential equations with a variable domain of the operator coefficients
F. E. Lomovtsev
;
N. J. Yurchuk
p. 1754-1766
Justification of the computation of the peaking time in problems with nonsmooth solutions
A. S. Makarenko
p. 1766-1771
An inverse problem for an equation of hyperbolic type in a Hilbert space
D. G. Orlovskii
p. 1771-1778
Distribution of the spectrum and the convergence of spectral expansions for an operator of Schr\"odinger type
A. M. Minkin
;
L. A. Shuster
p. 1778-1789
A free boundary problem for a second-order equation of parabolic type
Ya. V. Radyno
;
Dinh Phu Bong
p. 1789-1795
Estimates for the rate of stabilization as
$t\to\infty$
of the solution of the second mixed problem for a second-order quasilinear parabolic equation
A. F. Tedeev
p. 1795-1806
Discrete spectrum of the Sturm--Liouville operator in the third boundary value problem for a truncated one-sheeted hyperboloid of revolution
A. F. Ulitko
;
A. G. Kiselevskii
;
L. Shorfi
p. 1807-1812
Differential systems with common trajectories
V. V. Amel'kin
p. 1813-1814
Ion-acoustic waves in a nonmagnetized plasma
G. Artykov
;
M. B. Orazov
p. 1814-1817
Исследование сходимости неявной разностной схемы решения задачи о~численном моделировании термоконвективных процессов внутри цилиндрического сосуда
P. A. Vakulchik
;
A. N. Rashid
p. 1817-1819
Particular integrals of total differential systems
V. N. Gorbuzov
;
V. Yu. Tyshchenko
p. 1819-1822
On the inversion of theorems of Lyapunov's second method for systems of functional-differential equations
P. S. Gromova
p. 1823-1825
A boundary value problem for a linear loaded parabolic equation with nonlocal boundary conditions
M. T. Dzhenaliev (Jenaliyev)
p. 1825-1827
Nonlinear parametric resonance in a singularly perturbed telegraph equation
Yu. S. Kolesov
p. 1828-1829
On the spectrum of a pencil of compact operators
P. L. Krupkin
p. 1829-1830
Regularization of ill-posed monotone variational inequalities on approximately given sets
O. A. Liskovets
p. 1830-1833
Sommaire du
Fascicule no. 11
Uniform global controllability of a linear system with stationary random parameters
O. V. Baranova
p. 1843-1850
An efficient method for reducing a matrix to Jordan form
È. I. Grudo
p. 1850-1852
On the problem of distinguishing the center and focus in a certain case
S. A. Zolotarev
p. 1852-1862
Componentwise equiconvergence with a trigonometric series of expansions in root vector functions of the Schr\"odinger operator with a matrix non-Hermitian potential, all elements of which are only summable
V. A. Il'in
p. 1862-1879
On the Kneser problem for functional-differential equations
I. T. Kiguradze
;
D. I. Chichua
p. 1879-1892
Well-posed boundary value problems for a system of equations with infinite-dimensional pseudodifferential operators
I. F. Kurbyko
p. 1892-1901
Integration of generalized ordinary differential equations of approximation type in
$R^n$
A. I. Panasyuk
p. 1901-1914
Limit cycles of an autonomous system with algebraic right-hand sides
D. S. Ushkho
p. 1915-1925
A problem on the conjugation of equations with a small parameter
M. Yu. Yunusov
p. 1925-1935
Solvability of a system of stationary Boussinesq equations
M. I. Gil'
p. 1936-1941
A two-phase problem with a free boundary for an equation of parabolic type in an infinite domain
Ya. V. Radyno
;
Dinh Phu Bong
p. 1941-1947
On the oblique derivative problem for harmonic functions that are regular in a half-space
A. Yanushauskas
p. 1947-1958
Optimization with respect to accuracy of calculations of some sets of numerical methods based on linearization
V. A. Kurchatov
p. 1959-1963
On the construction of difference schemes for multidimensional parabolic equations on adaptive-time grids
P. P. Matus
p. 1964-1974
On some properties of divergent limit cycles
V. V. Amel'kin
p. 1975-1976
The Cauchy problem for differential equations in scales of continuously embedded Banach spaces
V. I. Nazarov
p. 1976-1980
Limit cycles of a quadratic system that has a particular integral in the form of a parabola
A. N. Novokhrost
p. 1981-1983
Bifurcations of a singular cone in two cases
V. P. Nozdracheva
p. 1984-1986
The converse of the mean-value theorem for the wave equation
I. P. Polovinkin
p. 1987-1990
Preservation of the characteristic vectors of a linear system under perturbation of its coefficients
O. P. Stepanovich
p. 1990-1994
On methods for investigating integro-differential equations
S. I. Temirbulatov
p. 1994-1998
Exact fundamental solutions of generalized axisymmetric equations
A. P. Chernyaev
p. 1998-2001
A criterion for the coexistence of a center and a focus of the equation
$y'=(x+\lambda y+Q_3)/(-y+\lambda x+P_3)$
N. L. Shcheglova
p. 2001-2005
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 2006-2019
Sommaire du
Fascicule no. 12
Solvability of a nonlinear boundary value problem in a fixed set of functions
S. A. Brykalov
p. 2027-2033
Criteria for the Bessel property and the Riesz basis property of systems of root functions of differential operators. I
V. D. Budaev
p. 2033-2044
On the existence of limit cycles of the second kind of multidimensional phase synchronization systems
I. M. Burkin
p. 2044-2049
Boundaries of a set of characteristic exponents of linear differential systems with higher-order perturbations
I. A. Volkov
p. 2050-2053
Construction of dynamical systems on manifolds
I. A. Galiullin
p. 2053-2058
Existence theorems for solutions of differential inclusions with a lower semicontinuous right-hand side on a locally compact set
V. V. Goncharov
p. 2058-2065
Properties of solutions of generalized differential equations of approximation type in
$\mathbf R^n$
A. I. Panasyuk
p. 2065-2077
Structural stability of a periodic system of differential equations
V. A. Pliss
p. 2077-2081
First-order canonical elliptic systems
V. E. Balabaev
p. 2082-2094
A mixed problem with an integral condition for parabolic equations with a Bessel operator
N. E. Benuar
;
N. J. Yurchuk
p. 2094-2098
A mixed problem for an equation of plate-oscillation type that is degenerate at a finite moment of time
S. P. Lavrenyuk
p. 2099-2106
Qualitative properties of the Riemann function
M. E. Lerner
p. 2106-2120
Boundary value problems for degenerate pseudoparabolic and pseudohyperbolic systems
V. A. Malovichko
p. 2120-2124
On the uniqueness of the simultaneous determination of the coefficient in a quasilinear parabolic equation and the coefficient in the boundary condition
N. V. Muzylev
p. 2124-2128
Separability of an operator of mixed type and the completeness of its root vectors
M. B. Muratbekov
p. 2128-2137
Boundary value problems for degenerate systems of equations
V. K. Romanko
p. 2138-2147
On the method of
$R$
-functions and the method of integral equations in the solution of problems in mathematical physics
V. P. Titsky
p. 2147-2151
A nonlocal boundary value problem in a layer: the influence of the parameters on the properties of the solutions
L. V. Fardigola
p. 2151-2161
Spectral properties of the differential operator
$\frac d{dt}-A_0$
with an unbounded operator
$A_0$
A. G. Baskakov
p. 2162-2164
Abstract formulas for regularized traces of elliptic smooth differential operators defined on compact manifolds
V. V. Dubrovskii
p. 2164-2166
On the number of cycles of some differential equations on a two-dimensional torus
E. K. Ershov
p. 2167-2169
On the theory of complete controllability of systems with aftereffect involving constraints on the control
S. A. Minyuk
p. 2169-2170
Regularization of variational inequalities with perturbed nonmonotone and discontinuous operators
Nguyen Minh Chuong
;
Nguyẽn Van Kin
p. 2171-2172
Uniqueness of the solution of an exterior inverse potential problem in convex domains
G. A. Pavlov
p. 2172-2174
On the existence of generalized optimal controls in systems with delay in the control
V. G. Pimenov
p. 2174-2176
A generalization of the Eshukov boundary value problem
V. P. Rudakov
p. 2177-2178
On the first variation in the theory of optimal control of systems with distributed parameters
M. I. Sumin
p. 2179-2181
Calculation of the Kronecker--Poincar\'e index of algebraic curves with respect to algebraic fields on the plane
A. Yu. Uteshev
p. 2181-2183
On the Muckenhoupt condition and the V.\,A.~Il'in condition in the question of the basis property of systems of exponentials
M. A. Mustafin
p. 2183-2185
Viktor Aleksandrovich Pliss (on the occasion of his sixtieth birthday)
N. N. Krasovskii
;
L. D. Kudryavtsev
;
G. A. Leonov
;
Yu. S. Osipov
;
S. Yu. Pilyugin
p. 2186-2189
Letter to the editors: ``Methods for constructing positional controls, and a feasible maximum principle'' [Differentsial'nye Uravneniya \textbf{26} (1990), no. 11, 1914--1924; MR1092085]
V. I. Korobov
;
G. M. Sklyar
Letter to the editors: ``Some differential-topological problems in control theory''
A. A. Liverovskiy
;
N. N. Petrov