Geodesic

Sommaire du Fascicule no. 1

The Dirichlet problem for a degenerate not-strongly elliptic system of two second-order equations
p. 3-12
Solvability of a boundary value problem arising in the theory of convection
p. 13-19
Differentiability with respect to the parameter of the solutions of nonlinear loaded boundary value problems for second-order partial differential equations.~II
p. 20-33
Solvability in the large of nonlinear boundary value problems for the Korteweg--de Vries equation in a bounded domain
p. 34-41
Liouville theorems for an equation of generalized analytic functions
p. 42-46
Solvability of a differential equation of elliptic type on the whole plane
p. 47-58
The generalized Tricomi problem for mixed hyperbolic-parabolic equations with a characteristic line of change of type
p. 59-73
On the normal solvability of the Dirichlet problem for an elliptic system
p. 74-79
On the oblique derivative problem with linear coefficients for harmonic functions
p. 80-85
A boundary value problem for a class of third-order equations
p. 86-92
A boundary value problem with shift for a hyperbolic equation that is degenerate inside the domain
p. 93-104
Hyperbolic regularization of the Burgers equation
p. 105-108
Periodic solutions of some nonlinear systems of ordinary differential equations
p. 109-116
An equation of composite type
p. 117-123
The conjugation problem for operator-differential equations
p. 124-134
Singular integral operators on the line
p. 135-144
An analogue of the Stefan problem for a hyperbolic-parabolic equation with an unknown line of change of type
p. 145-149
On the question of the well-posedness of boundary value problems for systems of second-order partial differential equations
p. 150-160
A Darboux problem for the Euler--Darboux--Poisson equation
p. 161-163
Multidimensional elliptic systems with small terms
p. 164-166
Uniqueness of the solution of the Tricomi problem for an equation of elliptic-hyperbolic type with strong uncharacteristic degeneracy
p. 167-170
Inversion of a singular integral equation of Carleman type by means of the Hankel transform
p. 171-173
A problem for an elliptic equation, degenerate on part of the boundary
p. 174-176
A boundary value problem for a third-order equation of mixed hyperbolic-pseudoparabolic type
p. 177-178
Some boundary value problems for a system of equations of composite type in three-dimensional space
p. 179-182
A boundary value problem for a third-order nonlinear equation
p. 183-185
Поправка к~статье: О~теоремах Лиувилля для уравнения обобщенных аналитических функций (Дифференциальные уравнения, \No~1, 1980~г.)

Sommaire du Fascicule no. 2

A criterion for the instability of the zero solution of a stationary differential system
p. 195-200
Linear extensions that satisfy the Perron condition.~II
p. 201-207
The nonlinear controlled sampled-data system. II.~Dependence of the solution on the initial state and parameters
p. 208-213
Well-posedness of boundary value problems for functional-differential equations
p. 214-226
On extending the definition of discontinuous systems
p. 227-235
The equations $w''=f(w',w,z)$ with an irrational right-hand side
p. 236-250
Investigation of the stability of weakly nonautonomous systems by the averaging method
p. 251-257
Stability with respect to the first approximation of differential inclusions
p. 258-263
Some remarks on the oscillatory nature of the solutions of ordinary differential equations with retarded argument
p. 264-272
A boundary value problem for a system of partial differential equations with constant coefficients
p. 273-279
An aspect of the development of the theory of the isotropic strict extremum principle
p. 280-292
Contact problems of the theory of elasticity
p. 293-310
The connection between the Dirichlet and Cauchy problems
p. 311-316
Calculation of electromagnetic fields in a fine-grained medium
p. 317-321
Analytic continuation from a discrete set of solutions of the heat equation
p. 322-327
Conditions for Noethericity and a formula for the index of a class of singular integral equations over a circular domain
p. 328-343
Nonnormally solvable and controllable integro-differential correspondences
p. 344-349
Uniform Riesz summability of the Fourier integral on the plane
p. 350-359
Reduzierung eines Systems linearer Differentialgleichungen auf eine maximal m\"ogliche Anzahl unabh\"angiger Teilsysteme
p. 360-361
Estimation of the number of algebraic limit cycles of the system $\dot x=P(x,\,y)$, $\dot y=Q(x,\,y)$ with algebraic right-hand sides
The central $m$-exponent for a system of discrete equations
p. 363-365
The rate of convergence of Galerkin's method for quasilinear parabolic equations
p. 366-369
Stability of the solutions of a system of second-order linear differential equations with periodic coefficients
p. 370-373
Closed trajectories in the neighborhood of an invariant torus
p. 374-376
Пятая всесоюзная конференция по качественной теории дифференциальных уравнений
p. 377-378

Sommaire du Fascicule no. 3

Existence of nonnegative solutions of linear differential equations
p. 387-394
$\sigma $-controllability of linear autonomous systems in the presence of constraints on the control
p. 395-404
Operator-differential equations in spaces of ultradistributions
p. 405-413
Some properties of the Bellman function for linear and symmetric polysystems
p. 414-423
Convergence of solutions in nonautonomous differential systems
p. 424-432
Uniqueness of the limit cycle of the equation $(y-P_3(x))dy=P_1(x,y)dx$
p. 433-437
Sharp upper bounds of mobility of the Ljapunov exponents of a system of differential equations and the behavior of the exponents under perturbations approaching
p. 438-448
Zones of instability of a one-dimensional periodic Dirac system
p. 449-453
Degenerate systems and a small parameter multiplying the derivative
p. 454-461
Absolute exponential stability of linear differential equations of neutral type in a Banach space
p. 462-469
Integral tests for oscillation of the solutions of higher-order linear differential equations. I
p. 470-482
An approach to control of the level of residual stresses
p. 483-491
Generation of a singularity in the solution of a Stefan-type problem
p. 492-500
Closure in $L_2$ of the set of solutions of a family of nonlinear elliptic equations
p. 501-506
Fredholm property of a class of boundary value problems
p. 507-515
The Cauchy problem for involutive systems of partial differential equations
p. 516-521
Fundamental solution of a differential operator with a singularity
p. 522-531
The mixed problem for the wave equation
p. 532-536
Existence of generalized and stationary statistical solutions for a system of equations of an electron fluid in a bounded domain
p. 537-544
Behavior of the solutions of the Cauchy problem for a hyperbolic equation
p. 545-547
A computer experiment in calculation of light trajectories
p. 548-550
Two typical properties of nonautonomous differential equations
p. 551-555
On the Cauchy problem for degenerate hyperbolic equations
p. 556-557
A property of an integral vortex
p. 558-559
Asymptotics of the energy emitted into space by an almost periodic source of electromagnetic waves
p. 560-563
Aleksandr Andreevi{\v{c}} Šestakov (on the occasion of his 60th birthday)
p. 564-570

Sommaire du Fascicule no. 4

Asymptotic estimate of the error in the calculation of the separatrix of a system of two ordinary differential equations
p. 579-588
The solution of a boundary value problem of motion and the interaction of charged particles with the field of a moving electromagnetic wave
p. 589-597
Estimate of the difference of derivatives of partial sums of decompositions corresponding to two arbitrary nonnegative selfadjoint extensions of two operators
p. 598-619
Perturbation of dynamical systems near invariant manifolds.~II
p. 620-628
Ljapunov functions and the solvability of the first boundary value problem for an ordinary second-order differential equation
p. 629-634
Integral tests for oscillation of the solutions of higher-order linear differential equations.~II
p. 635-644
A mixed problem for a hyperbolic system of second-order equations with discontinuities in the initial conditions
p. 645-659
A nonlinear equation of Schr\"odinger type
p. 660-670
Nonreflecting potentials and exact solutions of the Fokker--Planck--Kolmogorov equation
p. 671-678
The extremum principle for a system of equations
p. 679-683
Uniform convergence of forward difference schemes for multidimensional quasilinear parabolic equations.~II
p. 684-696
On a method of ``freezing'' for discrete systems
p. 697-704
Solution by the finite element method of problems of the theory of plastic flow for earth structures
p. 705-722
A projection method for realizing the method of the residual for nonlinear equations of the first kind with a perturbed operator
p. 723-731
Connection of the isolation of solutions with the convergence of shooting methods
p. 732-740
A nonlinear eigenvalue problem
p. 741-745
Asymptotic expansion of solutions of partial differential equations with deviating argument
p. 746-749
Group properties of the differential equation $a(x)y'+b(x)y=0$
p. 750-752
The controllability and stabilizability of linear discrete systems
p. 753-754
О~семинаре по качественной теории дифференциальных уравнении в~Московском университете
p. 755-761

Sommaire du Fascicule no. 5

Necessary and sufficient conditions for spatial decompositions to be bases and to be equiconvergent with a trigonometric series.~I
p. 771-794
Quasi-optimal programmed control of certain stochastic systems
p. 795-805
Controllability of linear systems in a Banach space in the presence of constraints on the control.~I
p. 806-817
Stability of sets for nonautonomous systems
p. 818-826
Asymptotic mean value formula for the regular solution of a differential equation
p. 827-844
Closed forms associated with linear differential operators
p. 845-867
The behavior of the solutions of elliptic equations in unbounded capillary regions
p. 868-881
Solvability of some nonlinear parabolic problems
p. 882-887
Algebraic criterion for the controllability of a pencil of linear operators
p. 888-893
Kneser's theorem for a class of integral inclusions
p. 894-900
On a differential-integral operator
p. 901-907
Two-dimensional singular integral equations with analytic coefficients
p. 908-916
Noether's theory for generalized Abel equations with a real index
p. 917-927
A type of stability of phase systems
p. 928-930
Domains of controllability for the van der Pol equation
p. 931-933
The Ljapunov theorem for systems of equations in total differentials
p. 934-936
Generalized solution of an integral equation of the first kind
p. 937-940
On the solution of some integral equations with kernels depending on the difference and sum of arguments
p. 941-943
Expression of the resolvent of a kernel-sum in terms of the resolvents of the summands
p. 944-946
The Cauchy problem for the Laplace equation in a complex space
p. 947-949
Abdel'hak Safiullovi{\v{c}} Galiullin (on the occasion of his sixtieth birthday)
p. 950-954

Sommaire du Fascicule no. 6

A differential system with two purely imaginary roots of a characteristic equation
p. 963-979
Necessary and sufficient conditions for spatial decompositions to be bases and to be equiconvergent with a trigonometric series.~II
p. 980-1009
Controllability of linear systems in a Banach space in the presence of constraints on the control.~II
p. 1010-1022
Asymptotic properties of solutions of differential systems in a critical sense
p. 1023-1031
A generalization of the notion of foliation
p. 1032-1036
A boundary value problem for infinite-order nonlinear ordinary differential equations with rapidly [slowly] increasing coefficients
p. 1037-1046
Uniqueness and stability of the solution of an equation of parabolic type with data on discrete sets of points
p. 1047-1053
A strong optimality condition for singular controls in a Goursat--Darboux system
p. 1054-1059
The existence and properties of the solutions of some mixed problems connected with the theory of mechanical shock
p. 1060-1075
Convergence of the solution of a mixed problem for a hyperbolic system on the plane with singularly perturbed boundary condition to the solution of a degenerate
p. 1076-1090
Application of the contour integral method to the study of ill-posed problems for second-order parabolic systems
p. 1091-1096
Existence of solutions of an inverse problem of potential theory
p. 1097-1107
Positive solutions of elliptic equations in bounded domains
p. 1108-1113
Well-posedness of the FitzHugh problem
p. 1114-1121
Normal solvability of integro-differential operators
p. 1122-1125
Об оценке траектории линейной нестационарной системы
Regularized trace of the Sturm--Liouville operator
p. 1127-1129
Стохастическая устойчивость обратной задачи нестационарных плоских волн
p. 1130-1131
Regularization of approximation schemes in the case of a Fredholm equation
p. 1132-1134
The interior of a set of systems of differential equations with a stable Ljapunov exponent
p. 1135-1137
Новый случай применимости теоремы о~дифференциальном неравенстве
p. 1138-1139
The stability of the Cauchy problem for certain types of differential equations
p. 1140-1143
О~существовании оптимальных управлений для процессов, описываемых системой интегро-дифференциальных уравнений с~запаздыванием
p. 1144-1145

Sommaire du Fascicule no. 7

Some results of the theory of difference methods
p. 1155-1171
Grid approximations of nonsmooth solutions of differential equations
p. 1172-1184
Calculation of pulse functions of lines of propagation of radio pulses with reflection from the lower ionosphere
p. 1185-1195
Asymptotic phase of modes with peaking and effective localization of heat in problems of nonlinear heat conduction
p. 1196-1204
Stability criteria for certain nonselfadjoint three-layer difference schemes
p. 1205-1210
The method of fictitious unknowns for the solution of difference elliptic boundary value problems in irregular domains
p. 1211-1225
Difference method for solving a problem of heat exchange by radiation
p. 1226-1234
Numerical modeling of the dynamics of heating and dispersion of matter in absorption of a high-current relativistic electron beam
p. 1235-1244
Investigation of a nonstationary nonlinear variational inequality
p. 1245-1254
Investigation of an implicit difference scheme for a variational inequality of nonlinear filtration theory
p. 1255-1264
Exact and truncated difference schemes for a class of Sturm--Liouville problems with degeneration
p. 1265-1275
On the question of the convergence rate of truncated schemes of the $m$th rank for generalized solutions
p. 1276-1282
Schemes of the finite-element method of increased accuracy for solution of nonstationary second-order equations
p. 1283-1292
Increasing the accuracy of difference solutions of an eigenvalue problem for an integro-differential equation
p. 1293-1302
A conservative difference scheme for an eigenvalue problem in a domain with smooth boundary
p. 1303-1307
Variational-discrete models of hydrodynamics equations
p. 1308-1321
Iteration methods for solution of implicit difference schemes for nonlinear parabolic and hyperbolic equations
p. 1322-1331
The balance method and variational-difference schemes
p. 1332-1343
Всесоюзная школа молодых ученых «Теоретические и прикладные проблемы вычислительной математики»
p. 1344-1346

Sommaire du Fascicule no. 8

Moving singularities of solutions whose trajectories near infinity are spirals
p. 1355-1359
A linear differential game with a simple matrix
p. 1360-1369
Continuous dependence of the solutions of an equation of neutral type on the parameter
p. 1370-1376
Stability of a second-order linear equation
p. 1377-1384
A differential game with information delay
p. 1385-1391
Stability of the solutions of autonomous Wa{\.z}ewski systems
p. 1392-1407
Baire classes of functions and Lyapunov exponents.~I
p. 1408-1416
Meromorphic solutions of systems of linear differential equations with meromorphic coefficients
p. 1417-1426
Necessary conditions for the existence of invariant tori of linear extensions of dynamical systems on a torus
p. 1427-1437
Investigation of the third variation of a functional on singular controls
p. 1438-1444
Continuous method for minimization of a convex function
p. 1445-1449
Mathematical examination of certain mixed problems in the theory of mechanical shock
p. 1450-1468
On the minimum of a quadratic functional and on linear boundary value problems of elliptic type with deviating arguments
p. 1469-1473
Expansion in eigenfunctions of a symmetric abstract elliptic differential operator
p. 1474-1483
Controllability of a nonlinear control system with distributed parameters described by an equation of oscillations
p. 1484-1491
An approximate method for calculating temperature fields of piecewise homogeneous bodies
p. 1492-1503
On the justification of the spectral method for calculating natural waves of microstrip lines
p. 1504-1512
Die L\"osbarkeit von Randwertproblemen mit instation\"aren Randbedingungen auf einem Teil des Randes
p. 1513-1514
On the set of stabilizing in the large controls of a solid body with one fixed point
p. 1515-1516
Recursive calculation of the solutions of a linear homogeneous stationary system
p. 1517-1519
Investigation of a system with a triple zero characteristic root
p. 1520-1522
On the oscillatory and nonoscillatory natures of the solutions for a system of nonlinear differential equations
p. 1523-1526
Construction of a linear system of equations by its integral curves
p. 1527-1528
Об асимптотическом поведении решений систем интегро-дифференциальных уравнений
p. 1529-1530

Sommaire du Fascicule no. 9

Bifurcations of Hopf type for quasiperiodic motions
p. 1539-1544
Expansion in eigenfunctions of a fourth-order differential operator with a piecewise constant leading coefficient
p. 1545-1558
The structure of the solutions of a two-dimensional periodic differential system.~I
p. 1559-1580
Solvability of boundary value problems for certain differential-operator equations of even order
p. 1581-1586
Baire classes of functions and Lyapunov exponents.~II
p. 1587-1598
Sets of linear systems of differential equations with uniformly bounded solutions
p. 1599-1616
Periodic solution of an autonomous singularly perturbed parabolic system
p. 1617-1622
The method of auxiliary basis functions in waveguide problems of scattering
p. 1623-1634
The Green function of the Dirichlet problem for the Laplace equation in a strip with $N$ elliptic cuts
p. 1635-1642
Criterion for the uniqueness of the solution of the Darboux problem for a degenerate hyperbolic equation of moisture transfer
p. 1643-1649
Discontinuous problem of linear conjugation and singular integral equations
p. 1650-1659
Approximate self-similar solutions of equations of heat conduction type
p. 1660-1676
Properties of difference schemes for the problem of cooling metal in a mold
p. 1677-1687
Prototypes of iteration processes in the eigenvalue problem
p. 1688-1697
Difference schemes for a quasilinear heat equation
p. 1698-1709
Convergence of the grid method in the solution of nonlinear nonstationary problems
p. 1710-1713
A remark on the stability of linear equations
p. 1714-1715
A method for averaging of integro-differential equations
p. 1716-1718
Invariance of central exponents with respect to perturbations which approach zero at infinity
Stability of differential equations in a Banach space with respect to a part of the variables
p. 1720-1723

Sommaire du Fascicule no. 10

Conditions for being a basis of eigenelements of differential pencils
p. 1731-1741
Exponents of the solutions of multidimensional linear differential equations in Banach spaces
p. 1742-1749
On the concepts of lower and upper functions
p. 1750-1759
Sufficient conditions for the existence of an equilibrium set of strategies in differential $n$-person games
p. 1760-1765
Baire classes of functions and Lyapunov exponents.~III
p. 1766-1785
On the rigidity property of linear dynamical systems with control given in infinite-dimensional spaces
p. 1786-1793
A class of differential games in mixed strategies
p. 1794-1800
On an alternative in a class of quasistrategies for a differential approach-evasion game
p. 1801-1808
A mixed boundary value problem of the mathematical theory of diffraction of electromagnetic waves excited by a dipole source
p. 1809-1815
Theorems of Wiman--Valiron type for solutions of inverse-parabolic equations
p. 1816-1825
Theorems on traces for the classes $L^{r,1}_{p\psi\varphi}$ and their application to the solution of a variational problem
p. 1826-1834
On the smoothness of the solutions of nonstationary equations of plate oscillations type
p. 1835-1842
A boundary value problem for a system of equations with monotone operator
p. 1843-1849
Solvability of boundary value problems for infinite-order nonlinear degenerate differential equations
p. 1850-1863
Separation of variables in a second-order linear differential equation
p. 1864-1874
A family of operators connected with generalized shift
p. 1875-1877
Necessary conditions for optimality for multidimensional distributed systems containing units with lumped parameters
p. 1878-1881
Programmed maximin and the direct method in a differential game
p. 1882-1884
Upper and lower solution of equations of evolution type
p. 1885-1887
Stabilization of the rotary motion of a rigid body
p. 1888-1890
Stability of an arbitrary system with respect to perturbations that are small in the sense of $C^1$
p. 1891-1892
A method for solving the problem of isochronism of the center
p. 1893-1895
Fox integro-differential equations and their systems in the space of generalized functions
p. 1896-1898
О~семинаре по качественной теории дифференциальных уравнений в~Московском университете
p. 1899-1905
Giovanni Sansone
p. 1906-1913

Sommaire du Fascicule no. 11

Mihail Alekseevi{\v{c}} Lavrent'ev
p. 1923-1924
Some problems of the theory of differential equations
p. 1925-1935
Is the Sun a radiosphere?
p. 1936-1942
Some properties of eigenfunctions of a fourth-order differential operator with discontinuous coefficients
p. 1943-1955
A differential approach game in Hilbert space
p. 1956-1962
Asymptotic behavior of the solutions of second-order linear differential equations with retarded argument
p. 1963-1966
Control of a quasilinear system under indeterminate initial conditions
p. 1967-1979
The oscillatory nature of the solutions of a nonlinear differential system of Emden--Fowler type
p. 1980-1984
A method that allows one to determine the initial data of periodic solutions of differential systems and to compare the mappings for a period
p. 1985-1994
Dynamical systems with a nonexpanding domain of attainability
p. 1995-2002
Continuability and uniqueness of generalized solutions of equations of neutral type
p. 2003-2011
Attainability of central exponents of a linear Hamiltonian system. I
p. 2012-2022
Expansion in products of the solutions of two Sturm--Liouville problems on the semiaxis
p. 2023-2029
Differential-difference equations in a half space
p. 2030-2038
Regularization of linear controls on the basis of perturbation theory
p. 2039-2049
The localization principle for the Laplace operator with piecewise constant coefficients on the surface of discontinuity of coefficients
p. 2050-2061
Traces of functions of the class $W^r_{p\varphi}$
p. 2062-2074
The Cauchy problem for equations of Schr\"odinger type with increasing coefficients
p. 2075-2086
The accuracy of three-layer difference schemes for quasilinear parabolic and hyperbolic equations
p. 2087-2088
Superharmonic oscillations of totally integrable linear systems
p. 2089-2091
A Sturm comparison theorem for second order equations in Hilbert space and partial differential equations
p. 2092-2094
On the solution of a Painlev\'e problem
p. 2095-2098
A method for reducing integral equations of the first kind to integral equations of the second kind
p. 2099-2102
The Frankl' problem and formulas for inversion of certain integral equations with special functions in the kernels
p. 2103-2105

Sommaire du Fascicule no. 12

Expansion in eigenfunctions of a fourth-order differential operator with discontinuous coefficients
p. 2115-2126
On integral asymptotic behavior in certain boundary value problems
p. 2127-2132
Two fundamental systems of solutions of a class of equations of the mechanics of a deformable body
p. 2133-2139
A manifold that determines the type of asymptotically stable invariant set
p. 2140-2147
On a system with a triple zero root of the characteristic equation.~I
p. 2148-2155
Representations of $TO$-solutions of the equation $X(x,\,y)dy=Y(x,\,y)dx$ in the quasianalytic case
p. 2156-2161
Attainability of central exponents of a linear Hamiltonian system.~II
p. 2162-2176
On the solution of nonlinear equations in certain normed spaces
p. 2177-2180
Smooth multipliers of the Fourier--Bessel transformation
p. 2181-2185
On the question of the solution of nonlinear boundary value problems by the Kantorovich--Vlasov method
p. 2186-2189
Solution of a boundary value problem on the scattering of a wave of type $H_{10}$ by a cylindrical inhomogeneity of elliptic profile in a rectangular waveguide
p. 2190-2204
Galilean systems of differential equations
p. 2205-2218
Nonlinear integral equations with an operator of inner superposition
p. 2219-2229
A nonlinear integro-differential system of equations of the kinetics of reactors
p. 2230-2246
The averaging method in the ``predator-prey'' system
p. 2247-2254
Approximate solution of singular integral equations by the degenerate kernel method
p. 2255-2267
Numerical solution of the problem of diffraction of an electrical dipole field by a circular aperture in a screen
p. 2268-2271
On the normal Hausdorff solvability of a two-dimensional singular integral equation
p. 2272-2275
Suppression of the rotation of an inert rigid body
p. 2276-2277
Investigation of a complex singular point of a differential system by the blow-up method
p. 2278-2280
On a change of variables in ordinary differential equations
p. 2281-2283
An elementary proof and applications of a theorem of F.~Takens
p. 2284-2287