Geodesic

Sommaire du Fascicule no. 1

Smoothness of solutions of a problem with an oblique derivative
p. 3-11
On the Cauchy problem for harmonic functions
p. 11-18
A fourth-order evolution equation encountered in underwater acoustics of a stratified fluid
p. 19-25
Boundary value problems for a class of fourth-order equations of mixed type
p. 25-31
Stabilization of means with respect to time of the solution of the Cauchy problem for a singular hyperbolic equation
p. 31-44
Fundamental mixed boundary value problem for elliptic systems in the plane
p. 44-53
The Bitsadze--Samarski{\v\i} problem for equations of mixed type
p. 54-59
Solvability in the class $L_2$ of the Tricomi problem for a parabolic-hyperbolic equation with a degenerate hyperbolic part
p. 60-66
Boundary value problems for equations of mixed type containing a mixed derivative
p. 66-74
The behavior of eigen- and associated functions of the Schr\"odinger operator at the point of discontinuity of the potential
p. 74-82
An inequality connected with the solution of a differential equation
p. 82-94
The property of being an unconditional basis on a closed interval of systems of eigen- and associated functions of a quadratic pencil of nonselfadjoint differential operators
p. 94-103
A problem with a normal derivative for an equation of mixed type with nonsmooth lines of degeneracy
p. 103-114
Estimation of spectral density corresponding to an expansion in an $N$-multiple system of exponentials
p. 114-125
Uniform equiconvergence of expansions in a system of exponentials with associated functions, and trigonometric Fourier series
p. 125-134
Fractional powers of a differential operator with singularity
p. 134-142
Asymptotic behavior of solutions of singular integral equations
p. 143-153
Characteristic problem for a class of second-order hyperbolic systems with parabolic degeneration
p. 153-164
An analogue of the Tricomi--Neumann problem for an equation of parabolic-hyperbolic type
p. 165-168
The basis property of a trigonometric system of functions
p. 168-170
The basis property of a system of functions
p. 170-171
A nonlocal problem for partial differential equations
p. 171-174
Approximate solution of two-dimensional Abel type integral equations
A problem of Riemann--Hilbert type for a degenerate elliptic system of first-order equations
p. 176-179

Sommaire du Fascicule no. 2

Pseudostability of closed invariant sets
p. 187-193
Linear Hamiltonian systems that are not solved with respect to the derivative
p. 193-198
Generalized solvability of nonlinear boundary value problems
p. 198-203
A case of time-optimality for a linear homogeneous system
p. 203-208
Third-order systems without moving critical singularities
p. 209-215
Generic properties of conditional exponential stability. XIV
p. 216-223
A criterion for stabilizability of dynamic systems with finite-dimensional input
p. 223-228
On the asymptotics and structure of the integral $O$-set of a singular system. I
p. 228-236
Phase inclusions in optimal control problems
p. 236-247
A time-optimality problem for a stochastic controllable system
p. 247-254
A class of methods for studying the asymptotic behavior of the solutions of differential equations with closed operators
p. 255-267
Quasiperiodic solutions of dissipative systems with quasiperiodic coefficients
p. 267-278
The method of descent and singular solutions of an equation of the dynamics of a stratified fluid
p. 279-285
A problem from the wave theory of mechanical impact
p. 285-298
A general mixed problem of diffraction of a plane electromagnetic wave falling obliquely on a circular opening in a flat screen between two media
p. 298-304
Uniqueness of the solution of linear boundary value problems for a second-order degenerate parabolic equation in an unbounded domain. II
p. 305-315
A special class of Green formulas
p. 315-326
Sufficient conditions for optimality in nonsmooth problems of optimal control of distributed systems
p. 326-337
The variational principle for hypoelliptic equations with constant coefficients
p. 338-343
On solvability conditions and $L_2$-estimates of the solution of a problem for a system of equations of mixed type in a half-space
p. 344-345
Задача оптимального управления линейной системой с~неразделенными двухточечными
p. 345-347
On the investigation of conditions for the stability of the Mathieu equation with damping
p. 347-348
On the theory of linear equations in complete derivatives
Construction of the Lagrangian from given first integrals
p. 350-352
Mixed boundary value problems in a finite cylinder for an equation not in explicit form according to the derivative with respect to the time
p. 352-353
The Laplace method and second-order differential equations with second-order polynomial coefficients
p. 354-356
A boundary value problem of Hilbert problem type for a pair of functions that are analytic in bidomains
p. 356-360
A theorem on the generalized second method of Lyapunov
p. 360-362

Sommaire du Fascicule no. 3

Existence of solutions of certain boundary value problems
p. 371-378
Exponents of certain second-order differential equations with piecewise-constant matrix
p. 378-389
On bounded and periodic solutions of even-order nonlinear ordinary differential equations
p. 390-396
Oscillation properties of certain functional-differential equations
p. 396-402
Differential-difference equations with small deviation of the argument
p. 403-411
Estimation of separatrices of the Lorenz system
p. 411-415
A boundary value problem for second-order nonlinear ordinary differential equations with singularities
p. 416-426
On the question of the classification of closed invariant sets of dynamical systems
p. 426-430
An inverse problem for a linear stationary system of differential equations
p. 430-434
A necessary condition for optimality for multidimensional singular control
p. 435-439
Bifurcations of invariant sets in a neighborhood of a contour of trajectories with a rest point which is a saddle
p. 439-445
Solution of a problem of Hodgkin--Huxley type on finite domains
p. 446-452
Decrease in the solution of the exterior boundary value problem for a system of elasticity theory
p. 452-458
Optimal control of coefficients for certain systems with distributed parameters
p. 458-462
Existence and uniqueness theorems for a class of problems with operator coefficients
p. 463-472
Strongly nonlinear elliptic equations in an unbounded domain
p. 472-483
Conditions of convergence of spectral expansions corresponding to nonsemibounded selfadjoint extensions of the Schr\"odinger operator
p. 483-495
Direct methods of solution of a class of singular integral equations
p. 496-503
Solutions of a coagulation equation with unbounded kernels
p. 504-509
The Uryson equation with a discontinuous operator
p. 509-518
Stability of solutions for a class of integro-differential equations
p. 518-523
Integral equations containing multiple integrals with Cauchy kernels
p. 523-538
Integrability of a problem of anisotropic Boltyanski{\v\i} relativity
p. 539-541
On the asymptotic behavior of solutions of some ordinary differential equations
p. 541-542
The structure of the approximation function for a linear differential equation
p. 542-545
Generalized maximum principle for systems with delay
p. 545-546

Sommaire du Fascicule no. 4

Some trends in V. Lakshmikantham's investigations in the theory of differential equations and their applications
p. 555-572
Necessary conditions for the preservation of smooth invariant submanifolds
p. 573-581
Stabilization of certain linear differential equations with second-order piecewise constant matrix
p. 581-592
Asymptotic behavior of solutions of a class of real-analytic systems
p. 592-600
Boundary value problems for degenerate differential equations
p. 600-607
Generic properties of conditional exponential stability. XV
p. 607-618
A generalization of the fixed-point theorem and its application in a game-theoretic problem of programmed control
p. 618-624
Stability in the large of solutions of an $n$th order equation
p. 624-628
$L_2$-estimates for the solution of a problem for a system of equations of mixed type in a bounded domain
p. 629-640
Asymptotics of the eigenvalue of a singularly perturbed selfadjoint elliptic problem with a small parameter in the boundary conditions
p. 640-652
Hyperbolically symmetrizable systems of equations
p. 652-662
Existence and uniqueness of solutions of exterior inverse problems of potential theory
p. 662-668
A boundary value problem for hyperbolic equations in a class of functions that are almost periodic with respect to space variables
p. 669-678
Integral representations of solutions of a modified system of Euler--Poisson--Darboux equations with two lines of parabolic degeneration
p. 678-683
Application of asymptotic estimates of Fourier transforms for finding source functions of certain elliptic systems
p. 684-692
An algebra of pseudodifferential operators with analytic symbols
p. 692-696
Hyper--Bessel solutions of a differential equation
p. 697-700
Local boundary value problems with departure from the characteristic for the Lavrent'ev--Bitsadze equation
p. 700-702
Solutions of a class of third-order systems
p. 702-705
Chaplygin's method for a system of nonlinear functional-differential equations of parabolic type
p. 705-708
Asymptotic representation of trajectory and period of a relaxation oscillation in case of an angular point of a separation
p. 708-710
Some properties of information sets of nonlinear systems
p. 710-712
A problem of stabilization of equations with aftereffect
p. 713-714
Oscillations of an electromechanical system
p. 715-717
A condition for the existence of the discrete spectrum of the energy operator of a system of two particles in an external field
p. 717-719
On the behavior of a viscous compressible fluid under the action of a given boundary regime
p. 719-722
On the instability of difference equations with respect to the first approximation
p. 722-723
A theorem on expansion with respect to the grid step of the solution of a difference problem for an abstract quasilinear hyperbolic equation
p. 723-727
On local solvability of the Cauchy problem for equations of neutral type in the class of monotone functions
p. 728-729

Sommaire du Fascicule no. 5

Development of N.\,V.~Azbelev's $W$-method in problems of the stability of solutions of linear functional-differential equations
p. 739-750
The differential resultant and some of its applications
p. 750-757
On the behavior of phase curves near equilibrium states of differential systems of algebroid type
p. 757-762
Structurally stable obstructions to smooth linearization in a neighborhood of an invariant manifold
p. 762-768
Investigation of the behavior of solutions of an inhomogeneous system of differential equations with discontinuous right-hand side
p. 768-774
An algorithm for constructing higher approximations for systems with fast and slow variables
p. 775-780
Unbounded regular solutions of the Emden--Fowler equation with an additional differential property
p. 780-789
A problem of distinguishing the center and focus for a case of a complex singular point
p. 789-794
Existence of a periodic solution of a differential inclusion with measure
p. 794-802
Determination of the general solution of differential equations
p. 802-812
Conjugation problems for third-order equations
p. 813-823
Singular integral equations of the first kind with Neumann kernels
p. 823-828
A mixed problem on the diffraction of a displaced magnetic dipole by a circular disk between two media
p. 828-838
Criteria for solvability of the Dirichlet problem in the case of an unbounded boundary function
p. 838-848
Maximum modulus principles for hyperbolic equations and systems of equations in nonclassical domains
p. 848-858
A modified Dirichlet problem for a system of irregularly degenerate elliptic equations
p. 858-864
Riesz means of biorthogonal expansions in eigen- and associated functions of nonselfadjoint extensions of the Laplace operator
p. 864-876
The Dirichlet problem on a square and on domains of more general type
p. 876-881
The reflecting function and stability of linear homogeneous differential systems
p. 882-884
Stability of solutions with respect to a linear approximation of systems with impulse action
p. 884-886
On the existence of solutions of autonomous systems of two differential equations with singular initial conditions
p. 886-888
On pointwise completeness of systems of linear differential-functional equations
p. 888-889
On the boundedness of the solution of a second-order linear equation
p. 890-891
Complete integrability of linear Pfaffian systems and conditions for linear independence of analytic functions of several variables
p. 891-894
The behavior of solutions of a perturbed homogeneous system of differential equations
p. 894-896
A linear completely integrable Pfaffian equation having a given characteristic set
p. 896-897
Bounded solutions of difference equations
p. 898-900
Alpha-regular limit cycles
p. 900-902
Coefficient criteria for distinguishing the topological structure of the equilibrium state of a dynamical system in a certain case
p. 902-905
Periodic solutions of the equation $\ddot x+\lambda f(ax+b\dot x)\dot x+x=0$
p. 905-907
Extremal aiming in a game of linear Volterra systems
p. 907-909
Representation of solutions in a neighborhood of moving branch points of a problem on the motion of a rigid body around a fixed point in a special case
p. 910-913

Sommaire du Fascicule no. 6

Stability of functional-differential equations on the axis and semiaxis
p. 923-927
Trace formulas for a boundary value problem with a functional-differential equation with a discontinuous coefficient
p. 927-931
An asymptotically stable integral $O$-set of nonlinear systems in the Lipschitz class for a scalar product
p. 932-944
An approach to differentiation of multivalued mappings, and necessary conditions for optimality of solutions of differential inclusions
p. 944-954
Centroaffine invariant center conditions in the sense of Dulac for a quadratic differential system
p. 954-961
Isomonodromic deformations of equations with irregular singularity
p. 961-967
The existence and properties of solutions of ordinary differential equations and differential inclusions
p. 968-977
On the stability of the trivial solution of linear difference systems with periodic coefficients
p. 977-986
Solution of the second boundary value problem of elasticity theory for a semiband
p. 987-993
Stability of the soliton solution of the nonlinear Schr\"odinger equation
p. 994-1004
A holonomic system for versal integrals
p. 1004-1016
The Dirichlet problem for a third-order equation of parabolic-hyperbolic type
p. 1016-1020
Point source functions for the Laplace difference operator in a corner. I. Integral representations
p. 1021-1032
Estimates for the rate of convergence of difference schemes for fourth-order quasilinear elliptic equations
p. 1032-1035
An iterative solution of systems of quasilinear elliptic equations in $n$-dimensional space
p. 1035-1046
The accuracy of difference schemes in the class of generalized solutions of an elliptic equation with variable coefficients in an arbitrary convex domain
p. 1046-1054
Estimates for the solutions of some difference schemes for mixed boundary value problems in cylindrical domains
p. 1054-1060
On the growth of solutions of differential equations with retarded argument in Hilbert space
p. 1061-1062
A modification of the Schwarz method for solving some problems of mathematical physics on a multiprocessor computer
p. 1062-1064
Some well-posed problems for higher-order parabolic equations that degenerate with respect to the time variable
p. 1065-1068
The monodromy group of a second-order linear differential equation
p. 1068-1070
The convergence of a third-order differential equation
p. 1071-1072
Uniqueness of the solution of an abstract inverse problem of potential theory in the class of convex domains
p. 1072-1074
A generalization of Wirtinger's inequality
p. 1074-1076
On stationary transformations of nonautonomous differential systems
p. 1076-1077
An elliptic system with regular degeneration
p. 1077-1079
The Cauchy and Goursat problems for a system of differential equations with two lines of parabolic degeneracy
p. 1080-1084
Uniqueness of the characteristic vectors of the solutions of a linear Pfaffian system
p. 1084-1086
On the asymptotics and structure of the integral $O$-set of a singular system. II
p. 1086-1089
On the structure of some set of solutions of a second order ordinary differential equation
p. 1089-1090
О~семинаре по качественной теории дифференциальных уравнений в~Московском
p. 1091-1097

Sommaire du Fascicule no. 7

A class of difference schemes for nonlinear nonstationary problems of mathematical physics. I
p. 1107-1119
Discrete models for a nonlinear magnetic-field scattering problem with thermal conductivity
p. 1119-1129
An existence theorem for the solution of a boundary value problem for a system of two second-order differential equations
p. 1129-1134
Point source functions for the Laplace difference operator in a corner. II. Asymptotic expansion at infinity
p. 1134-1141
A characteristic-interpolation method for solving the transport equation
p. 1141-1148
Convergence of the Newton method for solving difference schemes for equations of gas dynamics with heat conduction
p. 1149-1155
Exact difference schemes for a class of nonlinear boundary value problems and their application
p. 1155-1165
Application of new comparison theorems to the investigation of unbounded solutions of nonlinear parabolic equations
p. 1165-1173
Modeling of complex gas-dynamics flows by kinetic algorithms
p. 1173-1180
Transformation of variables and forms of representations of equations of magnetohydrodynamics
p. 1180-1189
A mathematical model of the crystallization process
p. 1189-1196
Some algorithms for the approximate solution and its derivative for Volterra and Fredholm integral equations of the first kind
p. 1196-1207
Решение в~квадратурах кинетического уравнения для электронов в~магнитном поле
p. 1207-1212
Traveling waves in a compressible medium with nonlinear energy sources and sinks
p. 1213-1219
Исследование разностной схемы решения задачи излучения звука цилиндрическим пьезовибратором
p. 1220-1226
Investigation of the approximation of difference operators on a grid of Dirichlet cells
p. 1227-1237
A method for numerical integration of the Helmholtz equation with nonlocal nonlinearity
p. 1237-1246
Difference schemes for a parabolic equation of general form with generalized solutions
p. 1246-1259
An inverse problem for reconstruction of elastoplastic properties on the basis of an indentation diagram
p. 1260-1263
Convergence of a method for solving a nonlinear spectral problem
p. 1263-1265
Consistent estimates for the rate of convergence of difference schemes in $L_2$-norm for the third boundary value problem of elasticity theory
p. 1265-1268
Steepest descent in a spectral problem
p. 1268-1271
Solution of a mathematical model of a two-dimensional flow of a viscous fluid
p. 1271-1275
Application of a kinetic algorithm for calculating gas-dynamical axially symmetric flows
p. 1275-1279
Medzhid Lyatifovich Rasulov (on the occasion of his seventieth birthday)
p. 1280-1283

Sommaire du Fascicule no. 8

On the theory of optimal processes with delays
p. 1291-1298
Fixed points and autonomous differential inclusions
p. 1298-1308
Solution by the variational method of differential equations in weighted spaces
p. 1308-1325
Some problems in the theory of the stability of functional-differential equations of neutral type
p. 1325-1332
Regularization of an ill-posed Cauchy problem for a second-order equation in a Banach space
p. 1332-1338
Generic properties of conditional exponential stability. XVI
p. 1338-1350
Time-optimal problem for differential inclusions
p. 1351-1365
Regularized trace of an operator with a singularity
p. 1365-1373
Exact bounds on a closed interval for eigen- and associated functions of a quadratic pencil of second-order ordinary nonselfadjoint differential operators
p. 1374-1386
Regularity of boundary points for second-order degenerate elliptic equations
p. 1387-1393
Solvability of a periodic problem of the static theory of elasticity in cylindrical domains
p. 1393-1399
A theorem on the interior derivative for an elliptic-parabolic equation of Kolmogorov type
p. 1400-1409
Exact solutions of the Born--Infeld equation
p. 1410-1416
Asymptotic behavior of the solution of a mixed problem with the third boundary condition in a half space for a pseudoparabolic equation
p. 1416-1424
Oscillation and nonoscillation of the solutions of elliptic equations
p. 1424-1435
Solvability of elliptic equations with discontinuous nonlinearities
p. 1435-1441
A problem in a strip for an equation of hyperbolic type with strong degeneracy
p. 1442-1443
On a generalization of the principle of contracted mappings and its application to an infinite system of ordinary differential equations
p. 1444-1446
Normalizing transformations of quasilinear nonautonomous systems
p. 1446-1449
Decomposition of systems of linear ordinary differential equations with constant coefficients with respect to the nilpotent component
p. 1449-1451
Representation of the manifold of solutions and investigation of boundary value problems of Cauchy--Dirichlet type for a class of equations of mixed type with a singular line
p. 1451-1452
Dependence of the exponent of growth of the solutions of differential-difference equations on the exponent of growth of the right-hand sides
p. 1452-1456
Conditions for the presence of a simple saddle-center of an autonomous two-dimensional differential system
p. 1456-1458
Estimates for the solutions of equations of elliptic type and weighted imbedding theorems
p. 1459-1461
On singular passages to the limit in case of extension of discontinuous systems
p. 1461-1463
Extremal properties of the Lyapunov function on unstable resonance regimes in the multifrequency case
p. 1463-1466

Sommaire du Fascicule no. 9

Generalized direct Lyapunov method for abstract semidynamic processes. I. Semidynamic processes as semidynamical systems. Localization of the limit set of autonomous and asymptotically autonomous semidynamic processes
p. 1475-1490
The highest $\sigma$-exponent of linear Hamiltonian systems
p. 1491-1499
Periodic solutions with incommensurable periods of periodic differential systems
p. 1499-1504
The maximum principle in a minimax problem
p. 1504-1515
Integral expansions related to Mehler--Fok transformations
p. 1515-1523
Differentiable invariant manifolds of dynamical systems
p. 1523-1532
Attracting sets with a strong transversality condition on the boundary
p. 1532-1539
Focal cyclicity of critical points of a differential system
p. 1539-1545
Weyl discs for Jacobi block matrices
p. 1545-1551
A boundary value problem of periodic type for a second-order nonlinear ordinary differential equation
p. 1551-1556
Integral representations of solutions of first-order elliptic systems on Riemann surfaces
p. 1557-1565
A singularly perturbed system of equations of elliptic type in the critical case
p. 1565-1576
The structure of the fundamental solution of the Cauchy problem for a system of Maxwell equations
p. 1577-1587
Stability of the existence of a global solution to the first boundary value problem for a controllable parabolic equation
p. 1587-1595
Differential equations in locally convex spaces and evolution pseudodifferential equations
p. 1596-1603
The comparison method and investigation of the stability of systems of ordinary differential equations containing perturbations
p. 1604-1606
A nonlinear equation of convolution type
p. 1606-1609
A problem in the theory of second-order elliptic equations in the plane
p. 1609-1610
An approach to the approximate calculation of path integrals with respect to the Gaussian measure of certain special functionals
p. 1611-1613
Differential equations that contain the products of discontinuous functions with impulses
p. 1614-1616
Problems on the convergence of spectral expansions in eigen- and associated functions of a parabolic operator
p. 1616-1618
Asymptotic integration of systems of linear differential equations with coefficients having power growth orders
p. 1618-1619
Linear differential systems that are equivalent with respect to the generalized Lyapunov transformation
p. 1619-1622
The spectrum of multigroup diffusion approximation of the neutron transport equation
p. 1623-1626
A control problem of discontinuous dynamic systems
p. 1626-1628
On the presentation of solutions of nonlinear differential-functional equations in the neighborhood of singular points
p. 1628-1630
The existence of solutions of noncooperative differential games
p. 1630-1631
Solutions of nonlinear parabolic equations describing the phenomenon of self-organization
p. 1631-1633
Singular points of two-dimensional linear total differential equations with constant coefficients
p. 1633-1636
Freezing and averaging methods for certain systems of integro-differential equations with an integral boundary condition
p. 1636-1640
Periodic perturbations that preserve the law of dispersion of a differential operator
p. 1641-1642
Dissipativity and global stability of the Lorenz system
p. 1642-1644
Construction of structures of solutions of nonstationary heat conduction problems
p. 1644-1646
Unsteady motion of a flexible wing of infinite span in a compressible fluid
p. 1646-1648

Sommaire du Fascicule no. 10

Continuous branches of multivalued mappings with nonconvex images, and functional-differential inclusions
p. 1659-1670
Stability with respect to linear approximation. Special cases
p. 1671-1688
The generalized principle of central symmetry
p. 1689-1693
Bifurcation of periodic solutions in the critical case of two pairs of purely imaginary roots in the presence of higher resonances
p. 1693-1697
Generic properties of conditional exponential stability. XVII
p. 1697-1711
$C^0$-perturbations of attracting sets and stability of the boundary
p. 1712-1719
Minimizing sequences in optimal control problems with bounded phase coordinates
p. 1719-1731
Boundary value problems for first-order elliptic systems on Riemann surfaces
p. 1732-1738
Some singularly perturbed problems of hyperbolic type with transition layers
p. 1739-1744
Regular selfadjoint boundary value problems for a multidimensional equation of mixed type
p. 1745-1753
A theorem on the space derivative for a second-order one-dimensional parabolic equation
p. 1754-1764
The existence of a solution of a strongly nonlinear system of elliptic type
p. 1764-1770
Stabilization of solutions of dissipative hyperbolic equations
p. 1771-1778
Transition to convex families of admissible operators in optimal control problems for elliptic equations
p. 1778-1785
Noncontinuable solutions of abstract integral equations of Volterra type
p. 1786-1789
Determination of a function of compact support from the modulus of its Fourier transform, and the inverse scattering problem
p. 1790-1798
Algebraic properties of differential and singular integral operators with shift
p. 1799-1805
Description and inversion of Bessel potentials by means of hypersingular integrals with weighted differences
p. 1805-1818
An equivalent formulation of the Dirichlet problem for the biharmonic equation
p. 1818-1823
The rate of convergence of Riesz means of a Fourier series in fundamental systems of functions of the Laplace operator
p. 1824-1826
The Riccati operator equation that is not solved with respect to the derivative
p. 1826-1829
Almost periodic solutions of linear systems with a small parameter multiplying the derivative
p. 1829-1833

Sommaire du Fascicule no. 11

The structure of the set of lower Perron exponents of a linear differential system
p. 1843-1853
On the problem of inversion for an equation of the Fuchs class
p. 1854-1865
Estimation of the difference of partial sums of spectral decompositions corresponding to two Schr\"odinger operators
p. 1865-1876
On the use of the averaging method in control problems
p. 1876-1886
On the solvability of the combustion problem
p. 1886-1895
Weak continuity of motions with respect to control for controllable differential inclusions and systems with discontinuous right-hand side
p. 1895-1905
Oscillation of solutions of linear ordinary differential equations of general type
p. 1905-1915
$C$-analytic dissipative dynamical systems
p. 1915-1922
The relative stability of the zero solution of an autonomous functional-differential equation of delaying type
p. 1922-1928
Representation of solutions in a neighborhood of moving branch points of a problem on the motion of a rigid body around a fixed point under the Appelrot conditions
p. 1928-1933
Self-similar peaking thermal structures in a medium with distributed parameters
p. 1934-1944
Smoothness of the solution of the first boundary value problem for a second-order model degenerate elliptic differential operator
p. 1945-1951
Optimality of quasisingular controls in Goursat--Darboux systems
p. 1952-1960
Orthogonal polynomials of several variables, which are connected with representations of groups of Euclidean motions
p. 1961-1972
Analogue of the Riemann--Hilbert problem for the generalized Moisil--Teodorescu system
p. 1972-1977
The Tricomi problem for the Lavrent'ev--Bitsadze equation with a spectral parameter
p. 1977-1984
On non-strongly-elliptic systems of second-order partial differential equations
p. 1984-1990
Solvability of the generalized Poincar\'e problem for parabolic equations in noncircular domains with a nonsmooth boundary
p. 1991-1994
A criterion for exponential stability of an equation with aftereffect and with periodic parameters
p. 1994-1997
Singularly perturbed Vall\'ee-Poussin problem with alternating spectrum
p. 1997-1999
On the question of optimization of the construction of linear comparison systems
p. 2000-2001
Техническая устойчивость нелинейных параметрически возбуждаемых распределенных процессов
p. 2001-2004
The possible rate of decrease of solutions of one type of partial differential equation
p. 2005-2007
A differential-parametric method for solving a one-dimensional nonselfadjoint eigenvalue problem
p. 2007-2009
Continuous dependence on the right-hand sides and stability of approximable solutions of differential equations containing products of discontinuous and generalized functions
p. 2009-2011
The Green function of a multipoint problem
p. 2011-2014
On a class of generalized Cauchy--Riemann systems with a finite number of singular points
p. 2014-2015
Absence of limit cycles around a triple focus in a quadratic system in a plane
p. 2015-2017

Sommaire du Fascicule no. 12

Andre{\v\i} Nikolaevich Tikhonov (on the occasion of his eightieth birthday)
p. 2027-2031
Andre{\v\i} Vasil'evich Bitsadze (on the occasion of his seventieth birthday)
p. 2032-2040
On de la Vall\'ee Poussin's differential inequality
p. 2041-2045
On the existence of periodic points in a neighborhood of a homoclinic point of a three-dimensional diffeomorphism
p. 2045-2052
Spectral expansion of nonselfadjoint differential operators with periodic coefficients
p. 2052-2059
Necessary and sufficient conditions for being a Riesz basis of root vectors of second-order discontinuous operators
p. 2059-2071
Uniform boundedness with respect to the parameter of the solutions of singularly perturbed problems for systems of ordinary differential equations
p. 2072-2080
Estimation with respect to the order of convergence of function series in the solution of boundary value problems for second-order quasilinear parabolic equations
p. 2081-2087
The Green function of the Dirichlet problem for a second-order $B$-elliptic equation
p. 2087-2097
Spectral expansions in the case when the orders of the associated functions exceed the order of the Riesz means
p. 2097-2107
Expansions in eigenfunctions of a singular elliptic operator
p. 2107-2117
A mixed problem with an integral condition for some parabolic equations
p. 2117-2126
A numerical method for solving a problem on the collision interaction of ultrashort light pulses in the resonance case
p. 2127-2135
On the rate of convergence of the Rothe--Galerkin method for operator differential equations
p. 2135-2144
Curvilinear finite elements of the class $C_1$ with singular coordinate functions
p. 2144-2157
An interpolation method for the numerical solution of the Laplace equation
p. 2157-2162
A computational scheme for an approximation method
p. 2162-2169
On the uniqueness of the solution of an equation with linear deviation of the argument in spaces with power weight
p. 2170-2171
Uniqueness of the solution of the generalized Poincar\'e problem of parabolic equations in noncylindrical domains with a nonsmooth boundary
p. 2171-2173
The Darboux problem for a second-order degenerate loaded integro-differential equation
p. 2174-2176
The behavior of solutions of a mixed boundary value problem for a higher-order elliptic equation
p. 2176-2178
Convergence of a differential-difference scheme for shallow water equations in Lagrangian coordinates
p. 2178-2181
Investigation of an almost periodic state of a nonlinear controllable system
p. 2182-2183
О~семинаре по качественной теории дифференциальных уравнений в~Московском
p. 2184-2188
Letter to the editors: ``On the Landau equation'' [Differentsial'nye Uravneniya \textbf{19} (1983), no.~8, 1406--1416; MR0714807]