Geodesic

Sommaire du Fascicule no. 1

A general boundary value problem for elliptic systems of second order with constant coefficients
p. 3-23
On the theory of boundary value problems for a class of quasi-linear elliptic equations degenerate on the boundary
p. 24-32
On some systems of differential equations of mixed and mixed-compound types
p. 33-46
Asymptotic solution of a mixed problem
p. 47-64
On a class of function spaces
p. 65-82
On integrals of potential type and embedding theorems in spaces with mixed norm
p. 83-106
Uniqueness of the solution of the exterior inverse problem for a Newtonian potential
p. 107-124
On the Cauchy problem, with data given on a curve of degenerate type, for a hyperbolic equation
p. 125-130
Библиография журнальных статей
p. 131-148
Поправки по журналу «Дифференциальные уравнения» за 1965~г.

Sommaire du Fascicule no. 2

The Dirichlet problem for degenerate elliptic equations with nonlinear lower order terms
p. 151-162
A general boundary value problem for elliptic systems of second order with constant coefficients. II
p. 163-171
Nonlinear integrals of potential type and their properties
p. 172-193
Uniqueness of solutions of inverse problems for metaharmonic potentials
p. 194-204
О~стационарных решениях смешанных задач, возникающих при
p. 205-213
Normal solvability of the Dirichlet problem for an elliptic system
p. 214-225
Certain problems in the analytic theory of equations of the first kind
p. 226-240
Certain incorrect problems in the theory of partial differential equations
p. 241-251
Integral operators with Carleman kernels
p. 252-265
The heightening property of direct values of generalized potentials for the comparison function of a general elliptic operator of second order
p. 266-294
Библиография журнальных статей
p. 295-296
Поправки по журналу ``Дифференциальные уравнения'' \No~1, 1966~г.

Sommaire du Fascicule no. 3

On the question of observability of systems with retardation
p. 299-308
On detecting asymptotic stability by means of small $vd$-numbers
p. 309-313
On convergence of the optimal control of a countable system of differential equations
p. 314-323
On control over the motion of nonlinear systems
p. 324-334
On limit cycles of a certain differential equation
p. 335-344
On the averaging of a certain class of systems of nonlinear differential equations
p. 345-352
A qualitative investigation of the differential equation $\frac{dy}{dx}=\frac{y+a_0x^2+a_1xy+a_2y^2}{x+b_0x^2+b_1xy+b_2y^2}$
p. 353-360
The behavior of integral curves of a system of differential equations close to a uniform one
p. 361-364
On a certan boundary value problem
p. 365-370
On the Green's matrix of a periodic boundary value problem for a system of linear differential equations
p. 371-381
Boundary value problems for second order differential equations in a Banach space. I
p. 382-390
On the question of the asymptotics of solutions to integro-differential equations with a small parameter in front of the derivative
p. 391-406
Equations of neutral types with variable small retardation
p. 407-416
Comparison theorems for Volterra equations with retarded argument
p. 417-421
On the question of existence of periodic solutions with an arbitrary period
p. 422-424
Применение метода Чаплыгина к~исследованию уравнения мембраны
p. 425-427
Zum 60. Geburtstag von Boris Pavlovic Demidovic
p. 428-432
Юбилейные чтения, посвященные столетию со дня рождения латвийского
p. 433-434
Новые книги
Письмо в~редакцию

Sommaire du Fascicule no. 4

A certain problem with a small parameter for parabolic differential equations
p. 439-452
On stability in the critical case of a double zero root for systems with an aftereffect
p. 453-462
On uniqueness and estimates of the solution to a class of boundary value problems
p. 463-478
Resonance phenomena in nonlinear systems
p. 479-491
The asymptotics of solutions to ordinary linear differential equations of the $n$-th order
p. 492-507
Study of the exponential growth of solutions to a second order partial differential equation with retarded arguments
p. 508-516
Estimating the limiting rate of decrease of solutions to an elliptic system
p. 517-524
On certain incorrect problems in the theory of potential
p. 525-532
Degenerate cases of singular integral equations with Cauchy kernel
p. 533-543
A general theory of integral equations with a power kernel
p. 544-559
On a certain method for solving the mixed problem for a hyperbolic equation with disontinuous coefficients
p. 560-570
On a certain optimal problem with a single switching
p. 571-573
A generalized Green's matrix for a problem with a directional derivative for a system of elliptic type in several variables
p. 574-581
Исследование вычислительных алгорифмов приближенного интегрирования дифференциальных
p. 582-583
Новые книги

Sommaire du Fascicule no. 5

On a pursuit problem in the case of restrictions on the impulses of control forces
p. 587-599
On the averaging method in certain problems connected with averaging
p. 600-608
On boundedness of solutions of a linear system of differential equations with variable coefficients
p. 609-613
A generalized finite-difference method
p. 614-618
The jump condition in a problem of optimal control
p. 619-627
Integral curves of the Darboux equation
p. 628-633
On conditions of discreteness of the spectrum of monomial differential operators
p. 634-639
Exact estimates in the Rothe method
p. 640-646
On the smoothness of thermal potentials. II. Thermal potentials on the surface of type $Л^{1,\alpha,\alpha/2}_{1,1,(1+\alpha)/2}$
p. 647-687
The symmetry group of solutions of the Klein--Gordon equation in the exterior vector field
p. 688-694
A group classification of the differential equations describing a one-dimensional unsteady flow of fluid
p. 695-700
On the solution of systems of singular integral equations with kernels invariant with respect to tranformations of a certain group
p. 701-708
Zur Frage der N\"aherungsl\"osung des Problems der ebenen Verbiegung eines d\"unnen Stabes von variabler Festigkeit
p. 709-710
General solution of the polyharmonic equation with an arbitrary number of independent variables
p. 711-713
A remark on the theory of the Riccati equation
p. 714-715
К~50-летию А.\,В.~Бицадзе
p. 716-719
Поправка к~статье: «Общая краевая задача для эллиптических систем второго порядка

Sommaire du Fascicule no. 6

Certain questions of behavior of solutions of a periodic dissipative system of the second order
p. 723-735
Invariants of linear representations of the rotation group of the plane and their applications in the qualitative theory of differential equations
p. 736-751
A system of differential equations without moving critical singular points
p. 752-762
Uniqueness of the solution of the correction problem for systems of linear differential equations
p. 763-768
Stabilization of linear systems under a certain class of constantly acting perturbations
p. 769-777
Periodic solutions of a certain nonautonomous system of differential equations
p. 778-782
A linear periodic boundary value problem for finite differences equations
p. 783-790
A class of nonlinear differential equations of the second order with algebraic moving singular points
p. 791-798
A variational problem with a small parameter. I
p. 799-815
Riesz means, Ces\`aro and Poisson--Abel summability of Fourier series of eigenfunctions
p. 816-827
Рассеяние плоской электромагнитной волны на нескольких сферах
p. 828-846
Expansions of matrix-functions in solutions of a spectral problem
p. 847-852
Certain remarks concerning a differential equation of odd order
p. 853-854
К.\,М.~Рагульскис, И.\, И.~Виткус, В.\,Л.~Рагульскене. «Самосинхронизация механических систем» (1.~Самосинхронные и виброударные системы)
Библиография журнальных статей
p. 856-860

Sommaire du Fascicule no. 7

Stability with respect to impulsive disturbances
p. 863-871
Stability of generalized processes.~I, II
p. 872-881
Geometric location and estimation of growth of solutions of perturbed systems
p. 882-897
Stability with respect to the first approximation
p. 898-907
Invariants of linear representations of the rotation group of the plane and their applications in the qualitative theory of differential equations
p. 908-918
Correctness of boundary value problems for a differential equation of the second order in a Banach space. II
p. 919-926
Estimates of generalized characteristic numbers of differential systems
p. 927-933
Analytic structure of the solution of a differential equation with nonholomorphic right side in the case of a center or focus
p. 934-942
Periodic solutions of parabolic equations
p. 943-952
Propagation of a perturbation in problems connected with degenerate quasi-linear equations of parabolic type
p. 953-957
General mixed problems for general two-dimensional hyperbolic systems
p. 958-966
A variational problem with a small parameter. II
p. 967-987
Approximate solution of a mixed boundary value problem of the theory of harmonic functions
p. 988-994
Библиография журнальных статей
p. 995-1000

Sommaire du Fascicule no. 8

Geometric location and estimation of growth of solutions of perturbed systems
p. 1003-1017
Approximate solution of the problem of an analytic construction of a regulator for an equation with retardation
p. 1018-1026
On extremals
p. 1027-1030
Investigation of the stability of motion of an autonomous system in the case of one zero-root
p. 1031-1042
Green's matrix for a class of linear two-point boundary value problems
p. 1043-1051
Stability in the large of a trajectory of the Markov processes of diffusion-type
p. 1052-1060
The problem of longitudinal vibrations of a finite viscoelastic beam
p. 1061-1071
On solving nonlinear integral equations by Newton's method
p. 1072-1083
On the solution of the differential equation of forced vibrations of rectangular orthotropic plates on a rigid support with two characteristics
p. 1084-1092
Approximate solution of the Wiener--Hopf equation in an exceptional case
p. 1093-1100
Application of the Wiener--Hopf method to the solution of a boundary value problem of the heat transfer equation
p. 1101-1106
О~влиянии двойной решетки специальной геометрической формы на излучение активного плоскопараллельного слоя
p. 1107-1114
Stability of a discontinuous solution of the gas dynamics equation
p. 1115-1122
A boundary value problem for the half-plane with a boundary condition of the third kind
p. 1123-1127
Regularization of incorrect problems for equations of mathematical physics
p. 1128-1131
Investigation of a nonlinear system
p. 1132-1133
A class of dual integral equations
p. 1134-1136

Sommaire du Fascicule no. 9

On the theory of invariant surfaces
p. 1139-1150
Eigenvalue problems for differential equations of the second order in Banach and Hilbert spaces
p. 1151-1160
Stability of difference stochastic systems under constantly acting perturbations
p. 1161-1169
On the question of estimation of the interval of applicability of {\v C}aplygin's theorem
p. 1170-1175
Stability of difference equations
p. 1176-1183
Conditions for the existence of the Green's function of a boundary value problem
p. 1184-1192
On the operational method of solution on linear differential-difference equations with constant coefficients
p. 1193-1200
Application of the contour integral method to the solution of mixed problems with boundary conditions of mixed type
p. 1201-1213
An inequality for functions of weight-classes and boundary value problems with a strong degeneracy on the boundary consisting of a curve and a point
p. 1214-1227
A variant of the averaging method of functional corrections for solution of linear integral equations of mixed type
p. 1228-1238
Confluent hypergeometric Horn functions
p. 1239-1254
Uniqueness of a solution of problems with Frankl' and Tricomi conditions for the general Lavrent'ev--Bicadze equation
p. 1255-1263
A generalization of an equation of Chandrasekhar
p. 1264-1270
Solution of a limiting boundary value problem for the filtration equation taking into account evaporation
p. 1271-1274
Generalization of the Leibniz--H\"ormander formula. Multiplication of differential operators with variable coefficients
p. 1275-1276

Sommaire du Fascicule no. 10

Stability in the large of solutions of systems of second order differential equations
p. 1279-1288
An optimal control problem in systems with aftereffect
p. 1289-1299
Existence and estimation of a solution of a periodic boundary value problem for a system of ordinary differential equations
p. 1300-1306
Integrability conditions in finite form for certain sytems of ordinary differential equations of the second order
p. 1307-1311
A sufficient condition for the stability of the zero-solution of a system of differential equations
p. 1312-1316
On the theory of canonical systems
p. 1317-1332
On the smoothness of thermal potentials. III. A special single layer thermal potential $P(x,\,t)$ on surfaces of type $Л^{0,1,\frac{1+\alpha}2}_{1,\alpha,\alpha/2}$ and $Л_{1,1,\frac{1+\alpha}2}^{1,\alpha,\alpha/2}$
p. 1333-1357
The method of irregular nets for finite and infinite regions with conical points
p. 1358-1373
Investigation of a class of nonlinear integral equations
p. 1374-1384
Asymptotic distribution of eigenfrequencies of a plane membrane in the case of separable variables
p. 1385-1402
Certain singular boundary value problems for the Bessel equation and their applications in mathematical physics
p. 1403-1407
Andreĭ Nikolaevič Tihonov
p. 1408-1412

Sommaire du Fascicule no. 11

Optimal control in a statistical problem
p. 1415-1422
Reducibiity of linear systems of differential equations with quasi-periodic coefficients
p. 1423-1427
Resonance in a nonlinear system in the presence of random shocks
p. 1428-1435
Reduction of systems of linear differential equations to the generalized $L$-diagonal form
p. 1436-1443
On the question of estimating the non-oscillation interval for a linear differential equation of third order
p. 1444-1448
Estimation of the non-oscillation interval for a difference equation and for difference boundary value problems
p. 1449-1468
Algebraic limit cycles of a differential equation
p. 1469-1473
Homogeneous difference schemes on irregular nets for a system of differential equations of fourth order with discontinuous coefficients
p. 1474-1483
On the smoothness of thermal potentials. III
p. 1484-1501
Solution of certain problems of electrochemistry by the method of straight lines
p. 1502-1509
Construction of small solutions of a class of nonlinear integral equations
p. 1510-1519
The Cauchy problem for systems of linear partial differential equations with variable coefficients
p. 1520-1530
Stability of solutions of a differential equation with a discontinuous characteristic
p. 1531-1534
Application of the theory of additive functionals to stochastic differential equations
p. 1535-1540
Quasi-periodic and periodic solutions of problems with moving boundaries for the wave equation in a one-dimensional space
p. 1541-1543
Новые книги

Sommaire du Fascicule no. 12

Defining relations in dynamical systems
p. 1547-1552
On the question of uniqueness of a solution of the Cauchy problem and the convergence of successive approximations
p. 1553-1560
Stability on a finite time-interval in the case of one nullroot and a pair of purely imaginary roots
p. 1561-1571
Conditions for the oscillatory and non-oscillatory nature of non-linear differential equations of second order
p. 1572-1586
Expansion of solutions of an integro-differential equation
p. 1587-1593
On the question of existence of solutions of differential and integro-differential equations having asymptotic parabolas
p. 1594-1610
On the trace of the difference of two ordinary differential operators of higher orders
p. 1611-1624
On the question of a practical application of a new approximation method
p. 1625-1629
Mathematical consideration of certain problems on longitudinal vibrations of composite beams consisting of elastic and viscoelastic parts
p. 1630-1648
The structure of solutions of elliptic-parabolic equations with one separable variable
p. 1649-1654
Certain properties of solutions of linear differential equations with bounded coefficients
p. 1655-1663
Solution in finite form of certain systems of ordinary differential equations of second order
p. 1664-1667
On the question of existence of bounded solutions of a differential equation of second order
p. 1668-1670
On the theory of Laplace transform
p. 1671-1676
Поправка к~статье «Об осреднении одного класса систем нелинейных дифференциальных уравнений» (т.~II, \No~3, 1966~г.)