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Differencialʹnye uravneniâ
Tome 23 (1987)
Précédent
Suivant
Sommaire du
Fascicule no. 1
Yuri{\v\i} Alekseevich Mitropol'ski{\v\i} (on the occasion of his seventieth birthday)
N. P. Erugin
;
V. S. Korolyuk
;
O. B. Lukova
p. 3-9
On smoothness of the solution of a degenerate problem with a directional derivative
Sh. A. Alimov
p. 10-22
On an ``almost'' model boundary value problem for a higher-order parabolic equation
E. A. Baderko
p. 22-29
On a system of differential equations with operator coefficients
K. B. Baikuziev
p. 29-38
Spectral theory of a problem of small oscillations of an ideal fluid in a rotating elastic vessel
A. Garadzhaev
p. 38-47
On the stabilization of means with respect to time for the difference of solutions of the Cauchy problem for hyperbolic equations
V. N. Denisov
p. 47-62
A lower bound for the sum of squares of fundamental functions of a second-order selfadjoint elliptic operator
A. E. Evzhanov
p. 62-72
The Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic side. I
N. Yu. Kapustin
p. 72-78
Nonlocal boundary value problems for equations of mixed type
G. D. Karatoprakliev
p. 78-84
On the theory of equations of mixed type with discontinuous coefficients. I
M. G. Karatopraklieva
p. 85-102
Second-order equations with an elliptic operator with respect to the space variables
A. G. Kuz'min
p. 102-113
Estimates for the integral moduli of continuity of the higher derivatives of solutions of elliptic equations
M. Morales
p. 113-124
Inverse problems for the determination of parameters of a nonstationary transport equation by overdeterminations of integral type
A. I. Prilepko
;
N. P. Volkov
p. 124-136
On the solvability of inverse boundary value problems for the determination of the coefficient preceding the lower derivative in a parabolic equation
A. I. Prilepko
;
V. V. Solov'ev
p. 136-143
On certain problems of the quadratic regulator for linear hyperbolic equations
M. Rakhimov
p. 143-154
On the Riesz means for root function expansions of certain nonlocal boundary value problems
Ya. Sh. Salimov
p. 155-160
A mixed problem of the plane theory of elasticity in regions with a piecewise-smooth boundary
A. P. Soldatov
p. 161-168
Asymptotic behavior of a spectral function of the Schr\"odinger operator with potential
$q\in L_2(R^3)$
R. R. Ashurov
p. 169-172
On an inverse Hausdorff--Young inequality for eigen- and associated functions of the Sturm--Liouville operator with discontinuous coefficients
Kh. M. Karov
p. 172-174
On a nonlocal problem for functions harmonic in a multiply connected domain
K. Yu. Kishkis
p. 174-177
On the basis property of a system of sines
E. I. Moiseev
p. 177-179
Sommaire du
Fascicule no. 2
On the properties of oscillating solutions of ordinary differential inequalities and equations
M. Bartushek
p. 187-191
On the existence of invariant tori for a periodic Hamiltonian system having some of characteristic indices with nonzero real part
A. A. Bel'kovich
p. 192-198
An estimate for the modulus of the derivative of a regular solution of an ordinary linear differential equation
V. D. Budaev
p. 198-204
On the oscillation of solutions of systems of second-order differential equations
A. I. Bulgakov
p. 204-217
On conditions for the continuous recovery of the current state of a linear system with delay from the results of observation
A. V. Vodichev
p. 217-227
Reciprocal controls and their applications
A. M. Zverkin
;
V. N. Rozova
p. 228-236
Solution of a design problem for controllable processes with perturbation by means of a controllability function
V. I. Korobov
p. 236-244
Conditions for the optimality of strategies in differential games of fixed duration
Yu. S. Ledyaev
;
E. F. Mishchenko
p. 244-255
Generic properties of conditional exponential stability. XVIII
V. M. Millionshchikov
p. 255-267
On the question of the justification of the averaging method for multifrequency oscillating systems
A. M. Samoilenko
p. 267-278
On series expansion of an Andronov--Hopf manifold of a quadratic system in the plane
L. A. Cherkas
;
I. S. Shchukina
p. 278-282
Investigation of the asymptotic behavior of periodic solutions of autonomous parabolic equations by methods of the larger parameter
S. A. Kashchenko
p. 283-292
Boundary value problems for general elliptic systems with strong degeneration
Ya. A. Roitberg
;
Z. G. Sheftel
p. 292-300
On asymptotic solutions of differential equations in the case of finite motions of a Hamiltonian field
B. Yu. Sternin
;
V. E. Shatalov
p. 300-308
Behavior of generalized solutions of the Dirichlet problem for higher-order quasilinear divergence elliptic equations in a neighborhood of the boundary
A. E. Shishkov
p. 308-320
On the solution of a multidimensional integral equation with a logarithmic kernel with radial density
A. A. Kilbas
;
S. I. Vasilets
p. 321-328
On the numerical determination of correlation functions of the solution of systems of linear integro-differential equations with randomly perturbed right-hand side
M. V. Chaikovskii
;
L. A. Yanovich
p. 328-338
On the solution of the inverse Cauchy problem for an equation with a variable operator
N. Yu. Bakaev
p. 339-341
On estimates for the orders of meromorphic solutions of second-order algebraic differential equations
G. A. Barsegyan
p. 341-344
A singularly perturbed system of two first order partial differential equations in a conditionally stable case
A. B. Vasil'eva
;
E. K. Kuchik
p. 344-345
Applications of fixed-point theory to the Cauchy problem for equations with degrading operators
P. P. Zabreiko
;
Ya. V. Radyno
p. 345-348
On an asymptotic formula of Hartman in the theory of second-order linear equations
I. V. Kamenev
p. 348-350
On a finite system of ordinary differential equations with moving boundary
P. L. Krupkin
p. 350-351
On the method of successive approximations
R. P. Kuzmina
p. 352-353
On algebroidal solutions of differential equations
A. Z. Mokhon'ko
p. 353-355
Remarks on the existence of a holomorphic integral in the critical case of a double zero root
A. P. Sadovskii
p. 355-357
On integration of ordinary differential equations with
$F$
-derivatives
N. T. Stel'maschuk
p. 357-358
On the localization of the limit set of the solutions of an evolution equation by means of Lyapunov functionals
A. A. Shestakov
p. 358-361
Sommaire du
Fascicule no. 3
Generalized direct Lyapunov method for abstract semidynamic processes. II. Localization of the limit set of compact semidynamic processes. Applications to partial differential equations
A. A. Shestakov
p. 371-387
On generic bifurcations of diffeomorphisms of a circle
S. Kh. Aranson
p. 388-394
On the divergence of transformations in an averaging method
V. V. Basov
p. 394-401
On stationary and periodic solutions of a nonlinear nonautonomous differential equation
Z. S. Batalova
;
N. V. Buhalova
p. 401-409
On periodic solutions with incommensurable periods of linear inhomogeneous periodic differential systems
È. I. Grudo
;
A. K. Demenchuk
p. 409-416
Description and estimate of sets of attainability of controllable systems
V. I. Gurman
;
G. Konstantinov
p. 416-423
On a comparison method for a problem of stability of periodic systems
B. S. Kalitin
p. 423-428
Asymptotic expansions of solutions of a degenerate hypergeometric equation
P. I. Kuznetsov
;
A. S. Yudina
p. 428-434
On equations of neutral type with exterior differentiation
V. G. Kurbatov
p. 434-442
A generalized problem of Bolza with delay
T. Nguyẽn
p. 442-450
On the existence of global Lyapunov--Krasovski{\v\i} functions for nonautonomous differential equations
N. S. Fal'ko
p. 450-457
Optimization of an integral functional on a pencil of solutions of a controllable differential inclusion
T. F. Filippova
p. 457-464
Nonautonomous dissipative dynamical systems. The method of Lyapunov functions
D. N. Cheban
p. 464-474
Epsilon-controllability of nonstationary linear dynamic systems in Banach spaces
F. A. Sholokhovich
p. 475-480
On properties of moduli of continuity for functions on a sphere
V. A. Ivanov
p. 481-487
A multipoint nonlocal problem for partial differential equations
V. S. Il'kiv
p. 487-492
On the smoothness of solutions of the Cauchy problem for a second-order hyperbolic operator-differential equation
A. Z. Ishmukhametov
p. 493-499
A problem of Lions for systems describable by a problem of Neumann
A. P. Suetov
p. 499-508
The second Painlev\'e equation and the Korteweg--de Vries equation
A. S. Abdullaev
Frequency conditions for the entry into a sliding state of nonlinear systems with discontinuous characteristics
R. I. Alidema
p. 510-511
On a class of nonlinear integral equations of convolution type
S. N. Askhabov
;
Kh. Sh. Mukhtarov
p. 512-514
On the solvability of mixed problems for second-order parabolic equations in domains with curvilinear boundaries
E. A. Gasymov
p. 514-516
Asymptotics of the solution of the Cauchy problem for a Riccati matrix differential equation with two small parameters
V. Ya. Glizer
p. 517-518
On a representation of the solution of a generalized elliptic boundary value problem
A. S. Gupalo
;
G. P. Lopushanskaya
p. 518-521
On the asymptotic behavior of the solutions of a nonlinear system of differential equations
I. G. Egorov
;
S. A. Kartuzova
p. 521-524
Asymptotics of the regular solutions of nonlinear ordinary differential equations
A. V. Kostin
p. 524-526
On the detection of instability of quasi flows by means of generalized characteristic Lyapunov numbers
G. N. Petrovskiǐ
p. 527-528
Multipoint resonance in a strongly nonlinear singularly perturbed system of differential equations
V. F. Safonov
p. 529-530
On the fundamental solution of a differential operator with a singularity
V. S. Serov
p. 531-534
Symbolic dynamics for a nonlinear nonautonomous oscillator
Yu. B. Suris
p. 535-538
Structural instability of three-dimensional systems in an open domain of the parameter space
A. F. Philippov
p. 538-539
On the smoothness of an invariant surface of a quasihomogeneous system in the neighborhood of a simple exceptional direction
O. A. Ivanov
;
G. R. Kudryashova
p. 540-543
On a nonlocal Bitsadze--Samarski{\v\i} boundary value problem
D. V. Kapanadze
p. 543-545
Sommaire du
Fascicule no. 4
On the stability of the solutions of equations with retarded argument in a Hilbert space
R. G. Aliev
p. 555-568
On the local boundedness of the solutions of a system of ordinary differential equations with respect to a set
S. A. Belikov
p. 568-577
On the stability in the large of some multidimensional nonlinear differential systems which satisfy the generalized Routh--Hurwicz conditions
L. I. Burganskaya
p. 577-589
On the observability of systems with delay
A. V. Vodichev
p. 589-597
On the transformation of some multipoint boundary value problems into the de la Vall\'ee--Poussin problem and of the conditions of solvability
V. Ya. Derr
p. 598-608
On periodic solutions of the Li\'enard equation
L. I. Zhilevich
p. 608-611
On a priori estimates for the solutions of ordinary differential equations
Yu. A. Klokov
p. 611-618
Positional modeling of controls and initial functions for Volterra systems
V. I. Maksimov
p. 618-629
On the necessary conditions for an extremum in an optimal control problem with phase constraints
A. S. Matveev
p. 629-640
Generic properties of conditional exponential stability. XIX
V. M. Millionshchikov
p. 640-658
Some oscillation theorems for multipoint problems
Yu. V. Pokornyi
;
K. P. Lazarev
p. 658-670
On the sign of the Green function
A. L. Teptin
p. 670-674
Construction of perturbations of Lyapunov functions and an investigation of stability under small random actions
M. M. Khapaev
;
V. V. Balandin
p. 675-680
Observability and stability with respect to some variables
A. G. Cheremensky
p. 680-685
Proximity of solutions of the Cauchy problem for some second-order parabolic equations
K. V. Valikov
p. 686-696
Long-wave asymptotics of the solution of a nonlinear system of equations with small dispersion
L. A. Kalyakin
p. 696-705
On the asymptotic behavior of the solutions of a nonlinear hyperbolic equation
A. S. Abdullaev
On the connection between third-order systems with no moving critical points and the sine-Gordon equation
N. S. Berezkina
p. 707-708
On the stability of the zero solution of a second-order nonautonomous quasilinear equation
I. E. Vitrichenko
p. 708-712
On conditions for the dissipativity and existence of limit cycles of differential equations with a leading linear part
M. I. Gil'
p. 712-714
On modified gradient methods for spectral problems
A. V. Knyazev
p. 715-717
A frequency criterion for the stability of systems of differential equations with hysteresis functions
G. A. Leonov
;
V. A. Teshev
p. 718-719
Application of the Drazin inversion on linear systems of differential equations
A. V. Lutsenko
p. 719-721
Lyapunov functions and self-induced oscillations
Yu. V. Malyshev
;
V. P. Zakharov
p. 722-724
A linear completely integrable Pfaffian system with a regular singular point
A. V. Makhorkin
p. 724-725
On a problem of the pursuit of a group of evaders
N. N. Petrov
;
V. A. Prokopenko
p. 725-726
Generalized solution of differential equations with a Fredholm operator at the derivative
N. A. Sidorov
;
M. V. Falaleev
p. 726-728
VI Всесоюзная конференция по качественной теории дифференциальных уравнений
V. M. Matrosov
;
A. A. Tolstonogov
;
R. Z. Abdullin
p. 729-730
Sommaire du
Fascicule no. 5
Nikola{\v\i} Pavlovich Erugin (on the occasion of his eightieth birthday)
A. V. Bitsadze
;
A. A. Dorodnitsyn
;
V. A. Il'in
;
A. A. Samarskii
;
A. N. Tikhonov
p. 739-744
The stability of linear systems with aftereffect. I
N. V. Azbelev
;
L. M. Berezanskii
;
P. M. Simonov
;
A. V. Chistyakov
p. 745-754
Existence of polar and pseudopolar solutions of autonomous systems of three differential equations. II
T. S. Bud'ko
;
A. I. Yablonskii
p. 754-760
On the theory of the fourth Painlev\'e equation
V. I. Gromak
p. 760-768
On the quasiperiodic solutions of linear inhomogeneous differential systems
È. I. Grudo
p. 768-774
On a problem of R. Conti
N. A. Izobov
;
R. A. Prokhorova
p. 775-791
On the problem of third-order nonlinear systems with single-valued moving singularities
A. F. Korzyuk
p. 791-798
On the controllability of linear nonstationary systems
A. A. Levakov
p. 798-806
Generic properties of conditional exponential stability. XX
V. M. Millionshchikov
p. 806-813
On the exponential indices of a triangular system and its diagonal approximation
A. M. Nurmatov
p. 814-818
Perturbation of invariant manifolds. III
G. S. Osipenko
p. 818-825
On limit cycles of a two-dimensional autonomous system with nonlinearities of third degree
A. E. Rudenok
p. 825-834
The connection of asymptotics on various infinities of solutions of the second Painlev\'e equation
B. I. Suleimanov
p. 834-842
On the structure of the matrix of coefficients of a regular Lappo--Danilevski{\v\i} system
T. L. Surin
p. 842-848
Limit cycles of autonomous systems with phase space
$\mathbf C^2$
L. A. Cherkas
p. 848-851
Formulas for the expansion of given functions in eigenfunction series of a three-point boundary value problem with two parameters
S. I. Gaiduk
p. 852-867
A problem of Dirichlet type for a third-order linear differential equation
V. V. Dainyak
;
V. I. Korzyuk
p. 867-872
Regularization of ill-posed problems by means of a generalized inverse operator
V. M. Zubov
p. 872-877
A three-point problem for third-order operator-differential equations
N. V. Tsyvis
;
N. J. Yurchuk
p. 877-881
An estimate for the difference of the solutions of two holomorphic systems of differential equations
S. S. Belyavsky
p. 882-884
Classes of third-order systems with no moving critical points, and evolution equations
N. S. Berezkina
p. 885-886
Third-order reducible ordinary linear differential equations and related nonlinear equations
L. M. Berkovich
p. 887-890
Apropos a theorem of Wittich
V. N. Gorbuzov
;
С. И. Kishkel
p. 891-893
On solutions in closed form for a system of three differential equations with a functional parameter
N. A. Zboychik
p. 894-897
On the problem of the existence of systems of two differential equations that do not have solutions with moving transcendental and essentially singular points
I. N. Klimashevskaya
;
S. G. Kondratenya
p. 897-899
Conditions for the asymptotic stability of a linear system of special form
G. S. Krechetov
p. 899-902
On conditionally solvable integro-differential operators
Yu. K. Lando
;
S. V. Yashchuk
p. 902-904
On the connection of the first Painlev\'e equation with the Korteweg--de Vries equation
I. P. Martynov
p. 904-905
On the theory of the completeness of linear systems with retarded argument of neutral type
S. A. Minyukov
;
N. N. Stepanyuk
p. 905-908
Problems of pursuit on the
$1$
-skeleton of a cube
N. N. Petrov
p. 908-911
On the solutions of an equation of nonlinear optics
A. A. Samodurov
;
V. M. Chodnovsky
p. 911-913
Sommaire du
Fascicule no. 6
Generalized direct Lyapunov method for abstract semidynamic processes. III. Localization of the limit set of compact dispersible semidynamic processes. Applications to evolution equations
A. A. Shestakov
p. 923-936
Uniqueness theorems for differential equations with hysteresis nonlinearities
V. I. Borzdyko
p. 937-941
The property of being an unconditional basis on a closed interval, for systems of eigen- and associated functions of a second-order operator with discontinuous coefficients
V. D. Budaev
p. 941-952
Sufficient conditions for the property of being a basis in
$L_p$
and for equiconvergence with a trigonometric series of spectral expansions
V. E. Volkov
p. 952-960
Direct and inverse spectral problems for a class of ordinary differential pencils on a finite interval
M. G. Gasymov
;
A. M. Magerramov
p. 960-971
Construction of connecting multipliers for the system of linear differential equations
$x\varphi'=(A_0+A_1x)\varphi$
M. A. Kovalevsky
p. 971-981
On the isochronicity of systems of two differential equations whose right-hand sides contain common factors
I. I. Pleshkan
p. 981-993
On the properties of a differential operator with a multiple turning point
A. A. Stakun
p. 993-999
The averaging method and the local equivalence of analytic systems with a small parameter
S. P. Tokarev
p. 999-1009
A criterion for the asymptotic stability of a system of two differential equations with homogeneous right-hand sides
A. Yu. Uteshev
;
S. G. Shulak
p. 1009-1014
Uniform asymptotic expansions for the solutions of second-order differential equations with two turning points and a complex spectral parameter
I. N. Yakushina
p. 1014-1020
Mixed boundary value problems in a nonsmooth domain for quasilinear equations that contain the biharmonic operator
A. G. Zarubin
p. 1021-1029
Dynamic problems for spherical and cylindrical shells
D. G. Peradze
p. 1029-1037
On conditions for the uniform convergence of expansions in root vectors of nonselfadjoint extensions of the Laplace operator
Ya. Sh. Salimov
p. 1037-1052
Generalized solutions of a system of equations of the boundary layer of dilatant fluids, and the finite rate of perturbations
V. N. Samokhin
p. 1053-1061
A priori estimates on the boundary of the domain for the solution of boundary value problems of plane elasticity
V. I. Tarakanov
p. 1061-1071
Integral representations of the fundamental system of solutions of a class of higher-order equations
L. A. Bagirov
;
P. A. Myshkis
p. 1072-1074
On the convergence of A.\,M.~Samo{\v\i}lenko's method of successive approximations for second-order equations
N. A. Evkhuta
p. 1074-1077
The collocation method for solving bisingular integral equations with Cauchy kernels
V. A. Zolotarevskii
;
S. A. Tutunaru
p. 1077-1080
On a method for solving linear differential-functional equations with constant coefficients
Kh. Yu. Kurdanov
p. 1080-1081
Overdetermined boundary value problems
S. Ya. L'vin
p. 1081-1084
Bifurcation of the periodic solution of a completely integrable Pfaffian system
A. V. Makhorkin
p. 1084-1086
On the functional-invariant solutions of a class of second-order quasilinear partial differential equations with two independent variables
O. F. Men'shikh
p. 1087-1088
Solution of the polyvector Lam\'e--Helmholtz equation
B. G. Mosolov
p. 1089-1092
О~семинаре по качественной теории дифференциальных уравнений в~Московском
p. 1093-1099
Sommaire du
Fascicule no. 7
Efficient difference schemes for nonlinear hyperbolic equations. II
V. N. Abrashin
;
S. I. Golik
;
A. F. Kamornikov
p. 1107-1116
A method for the investigation of the convergence of nonlinear difference schemes
N. V. Ardelyan
p. 1116-1127
Numerical solution of conjugate problems of heat- and mass-exchange taking into account phase transition
P. N. Vabishchevich
;
O. P. Iliev
p. 1127-1132
Estimates for localized unbounded solutions of quasilinear parabolic equations
V. A. Galaktionov
;
S. A. Posashkov
p. 1133-1143
The method of ``factored thermal displacement'' for the efficient solution of the heat equation on nonorthogonal nets
V. M. Goloviznin
;
E. A. Samarskaya
;
V. V. Chudanov
p. 1143-1154
Mathematical modeling of the Stefan problem on an adaptive net
N. A. Dar'in
;
V. I. Mazhukin
p. 1154-1160
The method of nets adapted to the solution in singularly perturbed one-dimensional boundary value problems
L. M. Degtyarev
;
V. V. Drozdov
;
T. S. Ivanova
p. 1160-1169
Numerical investigation of finite-dimensional models of Marangoni convection
G. G. Yelenin
;
I. S. Kalachinskaya
;
S. V. Solomatin
p. 1169-1177
Exact solution of a class of boundary value problems of the dissolving of a dense filtering crystal layer
G. G. Yelenin
;
V. V. Krylov
;
N. V. Sosnin
p. 1177-1188
A difference method for solving the Stefan problem for a binary system
M. P. Zabelina
;
I. V. Fryazinov
p. 1188-1197
A nonlocal boundary value problem of the first kind for the Sturm--Liouville operator in differential and difference interpretations
V. A. Il'in
;
E. I. Moiseev
p. 1198-1207
An estimate for the rate of convergence of a difference scheme in the
$L_2$
-norm for the third boundary value problem of axisymmetric elasticity theory on solutions in
$W_2^1(\Omega)$
V. M. Kalinin
;
V. L. Makarov
p. 1207-1219
The Goursat problem with boundary functions in the class
$L_2$
N. Yu. Kapustin
p. 1219-1231
A difference method for solving a two-dimensional spectral problem in an unbounded domain
S. I. Kovalev
p. 1231-1240
Investigation of algorithms for the numerical solution of systems of parabolic equations with nonlinear boundary conditions
O. S. Mazhorova
;
Yu. P. Popov
;
V. I. Pokhilko
p. 1240-1250
Numerical methods for integral equations of potential theory
Yu. I. Mokin
p. 1250-1262
Comparison of difference schemes for the modeling of transient processes in bipolar semiconductors
A. D. Sadovnikov
;
A. V. Cherniaev
p. 1262-1268
On some boundary value problems with a nonlocal condition
M. P. Sapagovas
;
R. J. Čiegis
p. 1268-1274
A method for the introduction of local artificial viscosity into difference equations
A. L. Goncharov
p. 1275-1278
On some singular problems for second-order ordinary differential equations
M. A. Demidov
;
Yu. A. Klokov
;
A. P. Mikhailov
p. 1278-1282
Поправки к~статье: «Качественное исследование критических случаев устойчивости движения» (Дифференц. уравнения. 1984. Т.~20, \No~10. С.~1715--1720)
Yu. V. Malyshev
Letter to the editor: ``On the localization of the limit set of the solutions of an evolution equation by means of Lyapunov functionals''
A. A. Shestakov
Sommaire du
Fascicule no. 8
The structure of the solutions of a periodic Pfaffian system with one zero root of the characteristic equation
È. I. Grudo
p. 1291-1299
Control of the spectrum of a dynamical system
G. G. Islamov
p. 1299-1302
Description of the pencil of viable trajectories of a control system
A. B. Kurzhanskii
;
T. F. Filippova
p. 1303-1315
Duality in problems of the theory of convex difference inclusions with aftereffect
E. N. Makhmudov
p. 1315-1324
Conditions for the existence of a homogeneous linear partial integral of a differential system
M. N. Popa
;
K. S. Sibirskii
p. 1324-1331
$C^\infty$
-equivalence of systems of differential equations with exponential asymptotic behavior of the solutions in a neighborhood of an invariant manifold
S. P. Tokarev
p. 1331-1342
Determination of the parameter of an evolution equation and inverse problems of mathematical physics. III
A. I. Prilepko
;
D. G. Orlovskii
p. 1343-1353
Stabilization of the solutions of parabolic equations with oscillating coefficients
V. D. Repnikov
p. 1353-1359
The Riemann problem for nonselfadjoint elliptic differential equations
È. M. Saak
p. 1360-1366
Fourth-order degenerate operator-differential equations
L. Tepoyan
p. 1366-1376
A class of inverse problems for elliptic equations
A. Khaidarov
p. 1376-1383
Conditions for radiation and the principle of limit absorption for quasilinear elliptic equations in unbounded domains
L. Shimon
p. 1383-1391
On the approximate solution of singular integral equations
N. G. Afendikova
;
I. K. Lifanov
;
A. F. Matveev
p. 1392-1402
Convergence of difference solutions to generalized solutions of the first boundary value problem for a fourth-order elliptic operator in domains of arbitrary form
S. A. Voitsekhovskii
;
I. P. Gavriljuk
;
V. L. Makarov
p. 1403-1407
Rate of convergence of the Bubnov--Galerkin method for a nonclassical system of differential equations
S. E. Zhelezovsky
;
V. Ph. Kirichenko
;
V. A. Krys'ko
p. 1407-1416
The reduction method for the solution of complete singular integral equations on a Lyapunov contour
V. A. Zolotarevskii
p. 1416-1422
A nonlocal boundary value problem of the second kind for the Sturm--Liouville operator
V. A. Il'in
;
E. I. Moiseev
p. 1422-1431
Calculation of the moments of the distribution function of fast electrons for a plasma with elastic collisions
N. I. Kozlov
;
V. M. Kondrat'ev
;
M. B. Markov
p. 1431-1436
Investigation of the equations of nonstationary nonlinear filtration
M. F. Pavlova
p. 1436-1446
Some results of an investigation of kinetically consistent difference schemes
I. P. Simonovich
p. 1446-1452
Investigation of the convergence of difference schemes for the quasilinear Sobolev equation
G. M. Amiraliev
p. 1453-1455
Logarithmic singularities of some classical linear differential equations
N. V. Grigorenko
p. 1455-1457
Stability of motion in a critical case
V. È. Zhavnerchik
p. 1458-1461
Asymptotic representations of the solutions of linear systems of ordinary differential equations
A. V. Kostin
p. 1461-1464
A variational approach to a problem of the absolute stability of nonstationary nonlinear systems
A. M. Meilakhs
p. 1464-1466
On a vibrational boundary value problem
S. V. Meleshko
;
Yu. V. Pokornyi
p. 1466-1467
Sommaire du
Fascicule no. 9
Asymptotic solutions of differential equations of hypergeometric type
V. S. Adamchik
;
A. D. Lizarev
p. 1475-1483
The exponents of a piecewise-constant three-dimensional system
B. F. Bylov
;
È. A. Tikhonova
p. 1483-1497
A generalization of the Banach--Cacciopolli principle to operators in pseudometric spaces
P. P. Zabreiko
;
T. A. Makarevich
p. 1497-1504
The solution of nonlinear boundary value problems for ordinary differential equations
A. V. Kim
p. 1504-1510
Evolution equations with infinite-dimensional pseudodifferential operators
I. F. Kurbyko
p. 1510-1519
Some asymptotic properties of the solutions of a system of Emden--Fowler type
D. D. Mirzov
p. 1519-1532
The discrete spectrum of a problem connected with wave propagation in an inhomogeneous medium with viscous friction
V. N. Pyvovarchyk
p. 1533-1538
On the stabilization of nonstationary dynamical objects
B. V. Ulanov
p. 1539-1543
Bifurcations of limit cycles of a quadratic system with two singular points and two parameters that rotate the field
L. A. Cherkas
;
V. A. Gaǐko
p. 1544-1553
A class of multidimensional strongly connected elliptic systems
E. A. Golovko
p. 1554-1559
Solvability of a boundary value problem for a high-order equation of mixed type
I. E. Egorov
p. 1560-1567
The parabolic capacity of a set and some characteristics of and estimates for it
P. I. Mysovskikh
p. 1567-1574
Systems of operator-differential equations
V. K. Romanko
p. 1574-1585
On the Riemann-Hilbert problem for a degenerate system of first-order equations
K. Sh. Saidov
p. 1585-1590
A method for the approximate solution of a Maxwell system
B. Yu. Sternin
p. 1590-1599
Semibounded solutions of inverse problems of the calculus of variations
V. M. Filippov
p. 1599-1607
The Dirichlet problem for a multidimensional system of elliptic type
Sh. B. Khalilov
p. 1608-1612
The formulation of well-posed boundary value problems for a class of systems of evolution type
A. Yanushauskas
p. 1613-1617
An integral equation of transport theory in an inhomogeneous medium
L. G. Arabadzhyan
p. 1618-1622
Dual integral equations connected with the eigenfunctions of the Steklov problem for a conic domain
B. A. Vasil'ev
p. 1622-1626
A dynamic model of a readjustment process of devices of an active moving object
V. N. Kalinin
;
B. V. Sokolov
p. 1626-1629
Asymptotic expansions of the vanishing and bounded solutions of ordinary differential equations
A. V. Kostin
p. 1629-1632
The method of lower and upper functions for second-order differential equations with singularities
L. A. Lepin
p. 1632-1634
The equivalence of some classes of first-order elliptic and hyperbolic systems and second-order partial differential equations
I. E. Pleshchinskaya
p. 1634-1637
A singular system of ordinary differential equations
G. A. Sviridyuk
p. 1637-1639
On the problem of the splitting of systems of differential equations that are dependent on two parameters
N. A. Sotnichenko
p. 1640-1643
A class of integral equations in a space of functions over a finite field
V. G. Chernov
p. 1643-1645
Wiener--Hopf operators with oscillating coefficients
B. Ya. Steinberg
p. 1645-1647
Uniqueness of the solution of the inverse problem for a differential equation in a Banach space
Yu. I. Èidel'man
p. 1647-1649
Sommaire du
Fascicule no. 10
A functional-differential inclusion with an operator that has nonconvex images
A. I. Bulgakov
p. 1659-1668
A method of integral transformations for solving some classes of differential equations
M. I. Klyuchantsev
p. 1668-1679
Estimates for the solutions of a second-order differential equation
S. G. Krechetov
p. 1679-1684
Positive solutions of boundary value problems for second-order ordinary differential equations with singularities
A. G. Lomtatidze
p. 1685-1692
Some methods in perturbation theory connected with averaging
K. V. Mal'kov
;
M. M. Khapaev
p. 1693-1704
A piecewise constant integral for multivalued mappings
M. S. Nikol'skii
p. 1705-1710
Vector boundary value problems generated by a scalar differential operator
E. N. Provotorova
p. 1711-1715
Lam\'e wave functions in Jacobi form. I
M. V. Fedoryuk
p. 1715-1724
Differential boundary value problems for first-order elliptic systems on Riemann surfaces
I. A. Bikchantaev
p. 1725-1736
Fourier series expansions in principal functions of an elliptic operator
A. I. Vahabov
p. 1736-1745
The periodic Cauchy problem for an equation of parabolic type in classes of generalized functions
V. V. Gorodestkii
p. 1745-1751
Inequalities of Bessel, Hausdorff--Young--Riesz and Hilbert type in a system of eigen- and associated functions of a second-order elliptic operator
A. E. Evzhanov
p. 1751-1763
Biorthogonal expansions in eigenfunctions. I
M. D. Kovalenko
p. 1764-1772
Decrease of the norm of the solution of a mixed problem for a higher-order parabolic equation
F. Kh. Mukminov
p. 1772-1780
Darboux problems for hyperbolic equations with degeneration of type and order
L. M. Nevostruev
p. 1780-1786
Averaging of elliptic operators with a high order of nonlinearity in the lower terms
A. A. Pankov
p. 1786-1791
Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type.~I
A. I. Prilepko
;
V. V. Solov'ev
p. 1791-1799
A collocation method for solving singular integral equations on a complex contour
V. A. Zolotarevskii
p. 1800-1802
Calculation of the coefficients of Lie series for solving ordinary differential equations
V. P. Igumnov
p. 1802-1804
Radiation principles for a higher-order elliptic equation in a tube domain
B. A. Iskenderov
;
E. Kh. Eivazov
;
A. N. Èfendieva
p. 1804-1807
Operators with a noninvertible expanding shift in H\"older spaces
Yu. D. Latushkin
;
Sh. K. Mamatov
p. 1807-1809
Approximate construction of attainability sets of differential inclusions in Banach space
A. A. Levakov
p. 1809-1811
A third order equation containing multiple poles with respect to the desired function
V. I. Lyalikova
p. 1811-1812
Completeness of the system of eigenfunctions of the multigroup diffusion approximation of a conditional-critical problem with a homogeneous active zone and an arbitrary reflector
R. S. Makin
;
S. B. Shikhov
p. 1812-1815
A functional taking extremal values on periodic solutions of a differential equation
V. I. Mironenko
p. 1816-1818
Estimate of the Green function of two-point boundary value problem for a linear singularly perturbed system
N. G. Panfilov
p. 1818-1819
Theorems of the Lyapunov functions method for quasiflows
G. N. Petrovskiǐ
p. 1819-1821
On a system connected with generalized analytic functions
L. G. Salekhov
p. 1821-1823
The Cauchy problem for a linear operator equation of Sobolev type with a nonpositive operator multiplying the derivative
G. A. Sviridyuk
p. 1823-1826
Local
$C^1$
-equivalence of systems of differential equations in a neighborhood of an asymptotically stable complex singular point
S. P. Tokarev
p. 1826-1828
A zonal hydrodynamic model of the general circulation of the atmosphere with conservation of angular momentum with respect to the axis of rotation
O. S. Sorokovikova
p. 1828-1832
Sommaire du
Fascicule no. 11
Investigation of a spectral problem of the theory of laminar flows of an ideal incompressible heavy fluid
K. A. Bezhanov
;
A. M. Ter-Krikorov
p. 1843-1851
A singularly perturbed linear system in a critical case
T. R. Gichev
p. 1851-1861
On the generalized de la Vall\'ee--Poussin problem
V. Ya. Derr
p. 1861-1872
The unimprovability of the I.\,T.~Kiguradze--G.\,G.~Kvinikadze condition for the existence of unbounded regular solutions of the Emden-Fowler equation
N. A. Izobov
;
V. A. Rabtsevich
p. 1872-1881
Asymptotic integration of the variational system of a multidimensional relaxation cycle. I
A. Yu. Kolesov
;
Yu. S. Kolesov
;
E. F. Mishchenko
;
N. Kh. Rozov
p. 1881-1889
Optimal pulse-point control of the dynamics of a viscous stratified fluid
S. I. Lyashko
;
S. E. Red'ko
p. 1890-1897
Asymptotic behavior at infinity of the solutions of first-order ordinary differential systems and of equations of arbitrary order
F. G. Maksudov
;
K. A. Dilbazov
p. 1897-1903
Perturbation theory in a complex domain for equations of Turritin type with a small parameter multiplying the derivative
L. Yu. Motylev
p. 1904-1913
Lam\'e wave functions in Jacobi form. II
M. V. Fedoryuk
p. 1913-1922
A priori estimates for H\"older norms of solutions of quasilinear
$B$
-elliptic equations
A. N. Baidakov
p. 1923-1930
An expansion of an arbitrary function in an integral in associated spherical functions
V. P. Belichenko
p. 1930-1937
On the existence of solutions of the Cauchy problem and of linear boundary value problems for a second-order parabolic equation in an unbounded domain. I
L. I. Kamynin
p. 1937-1948
Biorthogonal expansions in eigenfunctions. II
M. D. Kovalenko
p. 1948-1956
On
$L_p$
-estimates for the Klein--Gordon equation
A. I. Markovskii
p. 1956-1963
Laurent-type series for solutions of second-order elliptic equations
V. Z. Meshkov
p. 1964-1970
Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type.~II
A. I. Prilepko
;
V. V. Solov'ev
p. 1971-1980
On the differentiability of extremals of variational problems of the mechanics of ideally elastoplastic media
G. A. Seregin
p. 1981-1991
Characteristic difference scheme for a system of equations of three-dimensional gas dynamics
P. A. Vakulchik
p. 1992-1995
Poincar\'e singular points of complex equations
N. D. Vasilevich
p. 1995-1997
A third order differential equation with six singular points
A. V. Kozulin
p. 1997-1998
Ideal observability of discrete systems with delay
A. L. Lebedev
p. 1998-2001
A stochastic method for solving the Boltzmann equation for a gas with an arbitrary interaction law
A. V. Lukshin
p. 2001-2004
Asymptotic behavior of the eigenvalues of a fourth-order differential operator
N. A. Rustamov
p. 2004-2006
On the eigenvalues of the Sturm--Liouville equation
O. Ya. Savchenko
p. 2006-2008
Generalization of a theorem of Wiman and Valiron and the estimation of the order of growth of meromorphic solutions of algebraic differential equations
S. Ts. Sarkisyan
p. 2008-2011
Iterative methods of Newton--Kantorovich type in the solution of nonlinear ill-posed problems with monotone operators
I. P. Ryazantseva
p. 2012-2014
Approximations and expansions of solutions of linear boundary value problems with parameters
A. T. Taldykin
;
E. A. Isakova
p. 2014-2017
Passage from an equation of the Fuchsian class to a system of the Fuchsian class
A. S. Yarskii
p. 2017-2018
Sommaire du
Fascicule no. 12
Reduction of a linear system to block-triangular form
B. F. Bylov
p. 2027-2031
Two-sided estimates for solutions of systems of linear differential equations
M. I. Gil'
p. 2031-2036
Asymptotic integration of the variational system of a multidimensional relaxation cycle. II
A. Yu. Kolesov
;
Yu. S. Kolesov
;
E. F. Mishchenko
;
N. Kh. Rozov
p. 2036-2047
A frequency criterion for the existence of limit cycles of dynamical systems with a cylindrical phase space
G. A. Leonov
p. 2047-2051
Strictly positive Lyapunov functionals for linear systems with aftereffect
G. N. Mil'shtein
p. 2051-2060
Prolongation of the loss of stability in the case of dynamic bifurcations. I
A. I. Neishtadt
p. 2060-2067
On a theorem of Kneser
V. V. Filippov
p. 2068-2074
A method for constructing systems of nonlinear differential equations of arbitrary order with moving polar singular points
A. I. Yablonskii
;
A. F. Korzyuk
p. 2074-2079
Spectral theory of a problem on normal oscillations of an ideal compressible fluid in a rotating rigid container
A. Garadzhaev
p. 2080-2087
Stabilization of solutions of dissipative hyperbolic equations with almost periodic coefficients
A. N. Kochubei
p. 2087-2094
An inequality of Harnack type for the solutions of degenerate parabolic equations with discontinuous coefficients
I. T. Mamedov
;
N. A. Mikhailova
p. 2094-2108
A problem of hydrodynamics with a free boundary
A. G. Perevozchikov
p. 2108-2114
Sliding states in difference systems with variable structure
V. A. Gustomesov
p. 2115-2122
Additive schemes for the modeling of three-dimensional equations of heat conduction in cylindrical and spherical coordinates
I. A. Nicolaev
;
A. I. Sukhinov
p. 2122-2132
Difference schemes of the method of ``Dirichlet particles'', which preserve the one-dimensionality of gas dynamic flows in Cartesian, cylindrical and spherical coordinates
A. V. Solov'ev
;
E. V. Solov'eva
;
V. F. Tishkin
;
A. P. Favorski
;
M. Yu. Shashkov
p. 2133-2147
On the approximate solution of integral equations of convolution type
N. Ya. Tikhonenko
;
E. P. Tsymbalyuk
p. 2147-2152
On a multicriteria problem of the control of motion
V. A. Vyazgin
p. 2153-2154
A boundary value problem that admits discontinuous solutions
V. P. Gavrin
;
G. I. Kabak
p. 2154-2157
The second method of Lyapunov in problems of the control of motion
S. A. Grishin
p. 2157-2159
On the existence of
$O$
-curves of systems of ordinary differential equations asymptotically equal to a given curve
J. Diblik
p. 2159-2161
On the asymptotic stability of a class of nonautonomous systems
A. O. Ignatyev
p. 2161-2163
On the theory of stabilization of linear periodic control systems
V. N. Laptinskii
p. 2163-2164
Some necessary conditions for optimality for a class of systems with distributed parameters
K. B. Mansimov
p. 2164-2167
On the eigenvalues of the Schr\"odinger equation
O. Ya. Savchenko
The Cauchy problem for a linear singular operator equation of Sobolev type
G. A. Sviridyuk
p. 2168-2171
Coefficient conditions for the center in the sense of Dulac of a differential system with a zero characteristic root and homogeneous nonlinearities
K. S. Sibirskii
p. 2171-2173
Generic properties of characteristic vectors
H. D. Hoang
;
Ton Quoc Bin
p. 2173-2175
Application of asymmetric schemes on triangular grids for the solution of the heat equation
A. A. Chernikov
p. 2175-2178
On the solvability of the generalized Riemann boundary value problem for analytic functions
V. G. Cherednichenko
;
G. V. Verevkina
p. 2179-2181
Moving singularities of a system of equations of motion of a rigid body with a fixed point
A. I. Yablonskii
;
S. A. Myzgaeva
p. 2181-2182
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 2183-2189