Geodesic

Sommaire du Fascicule no. 1

Conditions for H\"older continuity of bounded generalized solutions of quasilinear equations of elliptic type
p. 3-15
Some boundary value problems for Darboux's equation
p. 16-33
Stabilization of solutions of boundary value problems for a second-order parabolic equation with one space variable
p. 34-45
A problem of Frankl' for a nonlinear equation of mixed type
p. 46-51
A three-dimensional analog of Gellerstedt's problem
p. 52-62
A functional method of solving Tricomi's problem
p. 63-73
Some conditions for the uniqueness of the solution of the exterior inverse problem of potential theory with variable density
p. 74-86
A one-dimensional inverse problem for the telegraph equation
p. 87-101
Some cases of overdetermination of a problem on the oblique derivative
p. 102-109
Harnack's inequality for generalized solutions of second order degenerate elliptic equations
p. 110-122
The Fredholmicity of certain boundary value problems for the equation $u_{xx}+yu_{yy}+\alpha(x,y)u_y+\beta(x,y)u_x+\gamma(x,y)u=f(x,y)$ in a mixed domain
p. 123-135
The unimprovability of the error estimate of the method of refinements with higher order differences in a certain class of solutions of Poisson's equations
p. 136-139
The first boundary value problem for a certain elliptic equation which degenerates on the boundary of the domain
p. 140-146
A certain problem of A. V. Bicadze for degenerate elliptic equations
p. 147-150
The approximation of the solution of the Dirichlet problem by the method of fictitious domains
p. 151-164
The two-fold expansion of a certain non-selfadjoint boundary value problem in series of eigenfunctions
p. 165-177
Zur Analyse der Stabilit\"at starker Diskontinuit\"aten in der Gasdynamik
p. 178-179
Ill'ja Nesterovic Vekua. (Zum 60~Geburtstag)
p. 180-187

Sommaire du Fascicule no. 2

Local topological equivalence of systems of differential equations
p. 199-214
Investigation of the motions of a spherical pendulum in the presence of a switching rotating force
p. 215-224
Certain systems with transformed argument in the case when the transformations of the argument depend on the time and on the solution
p. 225-232
${\rm C}-{\rm N}$ investigation of systems close to homogeneous ones
p. 233-237
A certain class of Poisson stable solutions of differential equations
p. 238-243
On the theory of linear stochastic differential equations with non-Markov type solutions
p. 244-251
On the question of the existence and uniqueness of the solution of boundary value problems for ordinary differential equations
p. 252-260
The unique solvability of de la Vall\'ee Poussin's problem
p. 261-268
The preservation of the sign of the Green's function of a periodic boundary value problem for a second order difference equation
p. 269-275
Infinite systems of linear differential equations
p. 276-282
Singular points for three-dimensional systems of total differential equations in four-dimensional space
p. 283-289
On the question of necessary and sufficient conditions for a minimum in variational problems
p. 290-297
A generalized Abel equation and fractional integration operators
p. 298-314
Noether's theory for the generalized Abel integral equation
p. 315-326
A Tauberian theorem
p. 327-335
Integral equations with logarithmic kernel
p. 336-346
On the smoothness of thermal potentials. V.~Thermal potentials $U,\,V$ and $W$ on surfaces of type $Л^{m+1,\alpha,\alpha/2}_{2m+1,1,(1+\alpha)/2}$ and $Л^{m+1,1,(1+\alpha)/2}_{2m+3,\alpha,\alpha/2}$
p. 347-365
The connection between boundedness and stability of solutions of linear systems with an infinite number of degrees of freedom
p. 366-367
A certain inequality
p. 368-369
Sufficient conditions for the regularity and reducibility of systems close to periodic ones
p. 370-374
Theorems in the qualitative theory of partial difference equations
p. 375-378

Sommaire du Fascicule no. 3

Proof of the existence of irregular systems of linear differential equations with almost periodic coefficients
p. 391-396
Investigation of the asymptotic properties of a differential equation encountered in certain kinetics problems
p. 397-408
Linear optimal processes with unbounded control. I
p. 409-422
Certain analytic singularities in the solution of a differential equation in the case of a focus
p. 423-428
Asymptotics of the solutions of a linear ordinary second order differential equation with transition point dependent on a parameter
p. 429-438
The algebraic reducibility of systems of linear differential equations. I
p. 439-445
A certain criiterion for Ljapunov stability
p. 446-458
Certain estimates of the method of averaging for multifrequency systems of ordinary differential equations
p. 459-473
The completeness of a Floquet type system of solutions for equations with retardation
p. 474-478
Solutions of the Briot and Bouquet equation with deviating argument
p. 479-490
Asymptotics of the solution of a certain problem for a nonlinear integro-differential equation with a small parameter at the derivative
p. 491-507
On the question of the applicability of the maximum principle to an elliptic difference equation
p. 508-517
The summation of principal vector expansions of certain nonselfadjoint differential operators
p. 518-525
A certain class of solutions of a system of integro-differential equations
p. 526-532
\"Uber eine Aufgabe der Theorie des W\"armeaustauschs
p. 533-538
Solutions of certain differential equations in classes of functions quasianalytic with respect to differential operators
p. 539-546
The construction of the set of initial points of the integral lines contained in a half-plane for a linear Hamiltonian system of two equations with periodic coefficients
p. 547-550
A new proof of the instability of the characteristic exponents of a certain regular system
p. 551-552
The convergence of Galerkin's method for the Cauchy problem of a system of nonlinear hyperbolic equations with two independent variables
p. 553-555
Letter to the editor
Библиография журнальных статей
p. 557-563
Поправка

Sommaire du Fascicule no. 4

The orbital stability of bounded solutions of an autonomous system.~I, II
p. 575-588
Some remarks on the solutions of the equation $u''+a(t)f(u)=0$
p. 589-605
Controllability of autonomous systems
p. 606-617
The global asymptotic stability of a certain nonlinear system
p. 618-624
Theorems on the instability of solutions of an $n$th order linear homogeneous differential equation with periodic coefficients
p. 625-630
Certain questions of global stability under constantly acting perturbations in a normed linear space
p. 631-638
Certain tests for the existence and absence of closed trajectories of a certain system of differential equations
p. 639-645
Degenerate systems and a small parameter at the derivative
p. 646-658
Asymptotic properties of the solutions of linear differential equations with retarded argument
p. 659-663
Probability estimates of solutions of a linear system of differential equations with random coefficients
p. 664-667
Estimate of the error in the method of successive approximations
p. 668-674
On the question of the existence of random periodic conditions for linear stochasitic difference and differential systems
p. 675-680
On the question of integral inequalities for a Fredholm equation whose right side is a discontinuous operator
p. 681-692
The returnability of points and regions in partially ordered dynamical systems
p. 693-701
The construction of a sequence of coordinate functions in solving Dirichlet and Neumann problems for regions of composite form
p. 702-713
The principle of the limit amplitude
p. 714-720
A model system of equations for the one-dimensional motion of a gas
p. 721-734
The numerical solution of certain ill-posed problems by the method of quasisolutions
p. 735-742
Maxwell's equations and functionally invariant solutions of the wave equation
p. 743-758

Sommaire du Fascicule no. 5

A certain peculiarity of the contact of motions in a game
p. 767-778
Regularization of a certain problem on the contact of motions
p. 779-784
Invariant sets of differential systems
p. 785-797
The use of the theory of optimal processes for the investigation of production models.~II
p. 798-811
A certain method of investigation of limit cycles
p. 812-820
The isochronism of a certain system of differential equations
p. 821-829
A boundary value problem for a system of ordinary differential equations
p. 830-838
The algebraic reducibility of systems of linear differential equations on a finite interval of definition of the independent variable. II
p. 839-844
Oscillations and boundedness of solutions of a nonlinear second order equation with multiplicatively separated right hand side
p. 845-849
On the question of solvability of boundary value problems for ordinary differential equations with discontinuous right hand side
p. 850-857
Conditional stability on a given time interval
p. 858-867
On the problem of stability of vibrations of quasilinear autonomous systems with lag
p. 868-874
Investigation of certain system of differential-functional equations
p. 875-880
On the smoothness of thermal potentials. V.~Thermal potentials $U,$ $V$ and $W$ on surfaces of type $Л^{m+1,\alpha,\alpha/2}_{2m+1,1,(1+\alpha)/2}$ and $Л^{m+1,1,(1+\alpha)/2}_{2m+3,\alpha,\alpha/2}$.~II
p. 881-895
An application of the method of the contour integral to the solution of a mixed problem for a certain parabolic system
p. 896-906
The asymptotics of a solution of Dirichlet problems for second and fourth order equations
p. 907-924
The method of collocation by lines
p. 925-931
Nichtlineare Schwingungen d\"unner Platten unter Ber\"ucksichtigung der Rotationsbeharrung
p. 932-937
A certain method of solving linear integral equations of the second kind
p. 938-942
A solution of the center and focus problem in a special case
p. 943-945
Linear asymptotic equilibrium
p. 946-948
A certain class of improper systems
p. 949-951
Новые книги

Sommaire du Fascicule no. 6

The maximum principle for L. S. Pontrjagin's extremals
p. 963-972
Asymptotic stability of the zero solution of a non-autonomous system of two differential equations. II
p. 973-982
Mobile singularities of systems of two differential equations
p. 983-990
Mobile singular points of solutions of certain ordinary differential equations
p. 991-999
The optimality of singular controls
p. 1000-1011
The stability of singular cycles
p. 1012-1017
Stability in critical cases
p. 1018-1021
Ljapunov functions and the continuation of solutions of differential equations
p. 1022-1034
The behavior of the integral curves of a certain system of two differential equations
p. 1035-1042
A certain equation of nonlinear vibrations
p. 1043-1054
The Green's matrix of a periodic boundary value problem for a system of two second order linear differential equations
p. 1055-1064
Lagrange's differential equation
p. 1065-1070
The expansion of solutions of multidimensional Volterra integral equations in the neighborhood of singular points
p. 1071-1080
Certain new boundary value problems for a certain kind of partial differential equations. I
p. 1081-1101
An application of the method of the contour integral to the solution of a certain problem on transverse vibrations of a composite visco-elastic rod
p. 1102-1111
The index and the normal solvability of integro-differential operators
p. 1112-1126
Задача о~поле линейного источника в~присутствии ``криволинейной'' решетки из конечного числа параллельных проводов
p. 1127-1135
The regularization of linear equations in Banach spaces
p. 1136-1139
The application of the method of orthogonal transformations to boundary value problems with unseparated conditions for systems of differential equations
p. 1140-1146
The set of lower exponents of positive measure
p. 1147-1149
A certain class of dynamical systems with two closed algebraic trajectories
p. 1150-1153
A certain class of differential systems with elementary solutions
p. 1154-1156
The absence of bilateral attraction points
The forcing of sliding conditions in the method of differential descent
p. 1158-1160

Sommaire du Fascicule no. 7

The existence of a solution of a certain nonlinear boundary value problem for an $n$th-order ordinary differential equation
p. 1171-1183
The asymptotic properties of solutions of first order ordinary differential equations
p. 1184-1195
The continuation of solutions of ordinary differential equations
p. 1196-1198
On the question of the existence and the construction of periodic solutions of systems with lag which are close to Ljapunov systems
p. 1199-1211
Accessibility of the central exponent
p. 1212-1217
Local controllability of autonomous systems
p. 1218-1232
Vibrations of nonautonomous systems with resonance, in the singular case
p. 1233-1240
The integrability in quadratures of certain systems of linear differential equations
p. 1241-1249
An asymptotic power series expansion of the retardation of a periodic solution of an equation of neutral type with small retardation
p. 1250-1257
Certain criteria for the existence of bounded solutions of a system of differential equations
p. 1258-1264
A certain estimate of a polyharmonic function and its derivatives near the boundary of the domain. I
p. 1265-1282
Problems for the heat equation with mixed boundary conditions
p. 1283-1288
On the theory of multidimensional differential equations with constant coefficients
p. 1289-1298
A certain modified {\v C}aplygin method for an abstract parabolic equation
p. 1299-1303
The reduction of the fundamental boundary value problems of the theory of sloping shells to regular integral equations
p. 1304-1308
Solution of the Cauchy problem for a certain class of integro-differential equations with analytic nonlinearities
p. 1309-1316
Convergence and estimates of error of the method of straight lines in the solution of certain problems of mathematical physics
p. 1317-1332
The Goursat problem for a second order hyperbolic equation of a special form
p. 1333-1345
Elliptic equations in a Banach space
p. 1346-1348

Sommaire du Fascicule no. 8

The orbital stability of bounded solutions of an autonomous system. I, II
p. 1359-1373
The comparison principle with a vector-valued Ljapunov function.~I
p. 1374-1386
The convergence of certain iterational processes for the solution of differential equations
p. 1387-1395
The approximate determination of periodic modes in high frequency processes
p. 1396-1403
Determination of the reaction of a linear nonstationary transfer system to locally summable influences
p. 1404-1412
The solutions of Painlev\'e's fifth equation
p. 1413-1420
The algebraic integrals of the differential equation $\frac{dy}{dx}=\frac{\sum_{i+j=0}^2A_{ij}x^iy^j}{\sum_{i+j=0}^2B_{ij}x^iy^j}$
p. 1421-1427
The number of periodic solutions of a first order differential equation with polynomial right hand side
p. 1428-1432
The existence and stability of periodic solutions of systems with lag which are close to a Ljapunov system
p. 1433-1440
A transformation operator for a sequence of solutions of a certain class of second order linear differential equations
p. 1441-1451
The global stability of certain second order system
p. 1452-1464
A certain class of hypergeometric functions of Horn
p. 1465-1483
Certain new boundary value problems for a certain kind of partial differential equations. II
p. 1484-1493
Direct methods for the qualitative spectral analysis of a nonselfadjoint system of first order differential equations. I
p. 1494-1508
A certain estimate of a polyharmonic function and its derivatives near the boundary of the domain. II
p. 1509-1518
An analogue of the inverse problem of scattering theory for a nonselfadjoint operator.~I
p. 1519-1533
The stability of the solutions of a certain class of systems of nonlinear differential equations
p. 1534-1535
The normal fundamental system of solutions of a linear homogeneous differential equation
p. 1536-1537
Библиография журнальных статей
p. 1538-1544

Sommaire du Fascicule no. 9

Recurrent and almost periodic limit solutions of non-autonomous systems
p. 1555-1559
The number of Frommer substitutions sufficient to reveal all ${\rm TO}$-curves of the equation $X(x,\,y)\,dy=Y(x,\,y)\,dx$
p. 1560-1573
On the control theory of dynamical systems
p. 1574-1583
Degenerate linear differential equations. I
p. 1584-1597
On the theory of linear equations with periodic coefficients, close to constants, and with lag
p. 1598-1607
Minimal sets and Ljapunov stability in partially ordered dynamical systems
p. 1608-1615
On the theory of generalized characteristic numbers
p. 1616-1624
The problem of the center for differential equations with discontinuous right-hand sides
p. 1625-1639
Uniform asymptotic stability of nonlinear systems of difference equations with a small parameter multiplying the first differences
p. 1640-1647
The optimal construction of a set of differential equations having a given integral curve
p. 1648-1657
The Cauchy problem for a one-dimensional hyperbolic equation of arbitrary order with data on a curve of degeneracy
p. 1658-1662
The first boundary value problem for a certain equation of mixed type
p. 1663-1666
The exterior boundary value problem for an operator which decomposes into Helmholtz operators
p. 1667-1675
The distribution of eigenvalues of a singular opeator
p. 1676-1682
Asymptotics of the spectral function of ordinary differential operators on a finite interval
p. 1683-1690
Ill-posed problems for convolution type equations
p. 1691-1704
The solution of certain discrete problems which reduce to a Riemann problem
p. 1705-1712
The Dirichlet problem for equations of von K\'arm\'an type
p. 1713-1719
The periodic solutions of a certain system with a small parameter
p. 1720-1723
Sergeĭ L'vovich Sobolev (on his 60th birthday)
p. 1724-1730

Sommaire du Fascicule no. 10

The comparison principle with a vector-valued Ljapunov function.~II
p. 1739-1752
Some singular boundary value problems for second order nonlinear ordinary differential equations
p. 1753-1773
Trigonometric series whose sum is a continuous unbounded function on the real axis and is a solution of an equation with deviating argument
p. 1774-1784
The investigation of nonautonomous systems of second order differential equations by means of differential invariants
p. 1785-1800
Concerning boundedness criteria for solutions of the equation $A_0(t)x''+A_1(t)x'+A_2(t)x=0$
p. 1801-1813
The existence of solutions of nonlinear ordinary differential equations with linear boundary conditions
p. 1814-1820
The behavior of periodic solutions of a system of second order differential equations with polynomial right-hand sides
p. 1821-1834
Singular points for two-dimensional systems of total differential equations in four-dimensional space
p. 1835-1841
Analytic properties of the scattering amplitude in the one-dimensional case. I
p. 1842-1853
A conjugacy problem for equations of hyperbolic and parabolic types
p. 1854-1866
On the smoothness of thermal potentials. VI.~Special thermal potentials~$P$ and $Q$ on surfaces of type $Л^{m+1,\alpha,\alpha/2}_{2m+1,1,(1+\alpha)/2}$ and $Л^{m+1,1,(1+\alpha)/2}_{2m+3,\alpha,\alpha/2}$
p. 1867-1891
The theory of Macdonald integrals. III. New representations of Macdonald integrals
p. 1892-1900
Asymptotics of the solution of a boundary value problem for second order elliptic equations in thin regions
p. 1901-1909
Stable solvable extensions of linear systems of partial differential operators with constant coefficients in a bounded region
p. 1910-1914
An analogue of the inverse problem of scattering theory for a nonselfadjoint operator.~II
p. 1915-1924

Sommaire du Fascicule no. 11

On some questions of the existence of the center
p. 1931-1938
The solvability of boundary value problems when Bern{\v s}te{\v\i}n's condition is satisfied
p. 1939-1948
Modes of approach of trajectories toward a singular point
p. 1949-1955
Degenerate linear differential equations. II
p. 1956-1966
The stability of Volterra equations
p. 1967-1979
The stability of an automatic control system with variable structure.
p. 1980-1990
Conditions for the isochronism of systems of two differential equations
p. 1991-1993
A test of stability of linear systems with variable coefficients
p. 1994-2001
The problem of center and focus
p. 2002-2009
Stability of motion under constantly acting perturbations in a finite interval
p. 2010-2014
Existence of solutions of a system of differential equations on the whole line and Ljapunov functions
p. 2015-2026
On the stability of systems with aftereffect in the critical case of two zero roots
p. 2027-2033
On the smoothness of thermal potentials. VI.~Special thermal potentials $P$ and $Q$ on surfaces of type $Л^{m+1,\alpha,\alpha/2}_{2m+1,1,(1+\alpha)/2}$ and $Л^{m+1,1,(1+\alpha)/2}_{2m+3,\alpha,\alpha/2}$
p. 2034-2055
Equations of the first kind
p. 2056-2060
Solution of a certain nonlinear problem of the dynamics of an atmosphere boundary layer
p. 2061-2067
The system of equations of boundary layer theory for stationary flow of an incompressible fluid
p. 2068-2083
The approximate solution of linear integral equations of mixed type with retarded argument by means of a certain variant of Ju. D. Sokolov's method
p. 2084-2088
The solution of a certain class of boundary value problems with mixed boundary conditions for regions of composite form
p. 2089-2093
The solution of Volterra type integral equations by a method of Runge--Kutta form
p. 2094-2102
Boundary value problems for metaharmonic equations of higher orders
p. 2103-2110
An approximate method for solving the Dirichlet problem in space
p. 2111-2116

Sommaire du Fascicule no. 12

The construction of Ljapunov functions
p. 2127-2158
Optimal deviation in a differential game
p. 2159-2165
The method of local cross sections in the theory of optimal processes
p. 2166-2183
A certain class of probability characteristics of forced solutions of linear differential equations with constant coefficients
p. 2184-2194
Strict error estimates for the integration of a differential equation by St\"ormer's method. I
p. 2195-2207
The number of operations required in the investigation by Frommer's method of a singular point of a differential equation with piecewise quasianalytic right-hand side
p. 2208-2214
A certain method of investigating singular problems
p. 2215-2229
The relative position of the separatrices
p. 2230-2242
Direct methods for the qualitative spectral analysis of a nonselfadjoint system of first order differential equations. II
p. 2243-2257
A partly characteristic boundary value problem for a certain form of partial differential equations.~I
p. 2258-2267
Regularization of nonlinear partial differential equations
p. 2268-2274
Some erroneous integral transform formulas
p. 2275-2277
A certain type of differential equations in a Banach space
p. 2278-2280
The singular cycles of the equation $\frac{dy}{dx}=\frac{P(x,y)}{xy}$, where $P(x,y)$, is a second degree polynomial
p. 2281-2285
Concerning the singularities of the solutions of an ordinary differential equation
p. 2286-2289
«История отечественной математики»
p. 2290-2292