Geodesic

Sommaire du Fascicule no. 1

Boundary value problems of thermoelasticity
p. 3-43
Certain boundary value problems for hyperbolic equations and equations of mixed type
p. 44-59
Effective methods of solution of the Dirichlet problem for elliptic systems of second order differential equations with constant coefficients in regions bounded by an ellipse
p. 60-71
The stability of the inverse problem of exterior potential
p. 72-80
An application of degenerate equations to the investigation of the oblique derivative problem
p. 81-90
Certain boundary value problems for equations of mixed type with two perpendicular lines of degeneracy
p. 91-99
Regular matrix partial differential equations
p. 100-107
On the question of the behavior for large time of the solutions of parabolic equations
p. 108-114
A certain class of singular integro-differential equations
p. 115-130
On the Dirichlet problem for degenerate elliptic systems
p. 131-140
The solution by the method of nets of the Dirichlet problem for Laplace's equation on regions with rounded corners
p. 141-153
Estimates of the derivatives of the associated Legendre functions in the $L_2$ metric
p. 154-158
The asymptotic behavior as $t\rightarrow \infty $ of the solution of a certain exterior boundary value problem for Sobolev's equation
p. 159-173
Systems with first order derivative in the “time”
p. 174-185
Natural differential operators on compact manifolds
p. 186-198
A certain class of equations of mixed type
p. 199-205
New books

Sommaire du Fascicule no. 2

On the theory of invariant sets in periodic systems of differential equations
p. 215-227
The uniqueness of the solutions of Volterra equations
p. 228-239
On the basis of the method of N. N. Bogoljubov and N. M. Krylov for ordinary differential equations
p. 240-253
Behavior of solutions in the large of a certain nonlinear system
p. 254-262
The class of systems of differential equations which have no solutions with mobile essentially singular points
p. 263-272
The stability of the zero solution of a system of two differential equations
p. 273-285
Strict error estimates for the integration of a differential equation by Störmer's method. II
p. 286-295
The solutions of a certain equation with periodic coefficients
p. 296-304
The global stability of the solutions of certain third order nonlinear equations
p. 305-312
Asymptotic behavior of singular Sturm–Liouville problems for large parameter in the case of nearby transition points
p. 313-325
On the problem of discrimination of center and focus
p. 326-330
Complete solvability of multi-dimensional differential equations with potential right-hand side
p. 331-342
Boundary value problems for ordinary differential equations. with discontinuous right-hand side
p. 343-349
Nonlinear weakly connected systems
p. 350-356
Certain boundary value problems for quasilinear equations which contain a small parameter at the highest derivative
p. 357-370
The solution of linear differential equation systems in finite form
p. 371-378
Functions which are definable by a certain system of differential equations
p. 379-381
Structure of the solution of a differential equation with weakly nonperiodic right-hand side
p. 382-384
The periodic solutions of a certain class of nonlinear systems
p. 385-388
Stability of the solutions of nonlinear systems
p. 389-392
Рецензия на книгу Н. Н. Красовского «Теория управления движением. Линейные системы»
p. 393-394
Рецензия на монографию В. Д. Купрадзе, Т. Г. Гегелиа, М. О. Башелейшвили, Т. В. Бурчуладзе «Трехмерные задачи математической теории упругости»
p. 395-397
Украинский республиканский симпозиум по дифференциальным уравнениям

Sommaire du Fascicule no. 3

A differential game of approach. I. Structurally stable case
p. 407-423
The stability in the large of the zero solution of a certain third order nonlinear equation
p. 424-429
The optimal control of the motion of quasilinear systems
p. 430-442
Degenerate linear differential equations. III
p. 443-455
A nonlinear periodic boundary value problem for an equation and a system of equations of the second order
p. 456-462
Certain integral inequalities for boundary value problems of differential equations
p. 463-472
A global qualitative picture of a certain dynamical system
p. 473-478
The stability of the Bubnov–Galerkin method for first order equations with variable coefficients in Hilbert space
p. 479-487
The stability of the solutions of differential equations with retarded argument under perturbations which are bounded in the mean
p. 488-498
Linear difference equations with exponential coefficients
p. 499-506
Analytic properties of the scattering amplitude in the one-dimensional case. II
p. 507-517
The uniqueness of the solution of a mixed problem for a quasilinear hyperbolic equation
p. 518-530
A partially characteristic boundary value problem for a certain form of partial differential equations. II
p. 531-542
Expansion of the solutions of second order differential equations in Banach spaces in series of exponential solutions
p. 543-545
The $F$-index and $F$-normal solvability of integro-differential operators
p. 546-555
The symmetry property of the almost reducibility concept
p. 556-559
The number of periodic solutions of a first order equation with rational right hand side
p. 560-562
The uniqueness of the limit cycle of the system $\dot y=-g(x)$, $\dot x=-f(x)$
p. 563-564
Integral inequalities with nonmonotonic functions
p. 565-567
The solution of nonlinear integral equations of mixed type by the method of averaging functional corrections
p. 568-573
Estimation of the derivatives of the solution of a boundary value problem for a polyharmonic equation
p. 574-579
A correction to the formula for the confluent hypergeometric function of two variables
Bibliography of journal articles
p. 581-588
Вторая Всесоюзная межвузовская конференция по теории и приложениям дифференциальных уравнений

Sommaire du Fascicule no. 4

Degenerate linear differential equations. IV
p. 599-611
Certain sufficient conditions for the asymptotic stability of the zero solution of a nonautonomous system of two differential equations
p. 612-625
The integral matrix of a certain system of differential equations
p. 626-640
The integration in closed form of certain linear systems of second order ordinary differential equations
p. 641-647
On a Floquet theory for equations with retarded argument
p. 648-656
On the question of the Ljapunov stability of resonance solutions of certain multifrequency systems with a weak constraint
p. 657-661
On the theory of optimal processes in linear systems with lag
p. 662-677
Some theorems on Ljapunov's second method
p. 678-687
The construction of the set of systems of differential equations of stable motion with respect to an integral variety
p. 688-699
On the analytic theory of ordinary differential equations with deviating argument
p. 700-711
The third boundary-value problem for the half-plane with boundary conditions which contain variable coefficients
p. 712-723
Solution of certain differential equations in classes of functions which are quasianalytic with respect to linear differential operators
p. 724-734
Periodic solution of systems of partial differential equations of neutral type
p. 735-748
The instability of the singular exponents and the non-symmetry of the relation of reducibility of linear systems of differential equations
p. 749-750
A remark on the stability of two-point pseudo-Runge–Kutta methods
p. 751-752
A certain hypothesis in the theory of the stability of nonlinear systems
p. 753-756
The asymptotic behavior of the solutions of a nonlinear integro-differential equation
p. 757-761
Solution of a plane Cauchy problem for the differential equation system of the theory of heat and mass transfer
p. 762-763
The eigenfunction expansion of certain linear integro-differential equations
p. 764-767
A certain inequality for the solution of the Dirichlet problem in a ball
p. 768-771
An analogue of the method of lines for a first order equation in a Banach space
p. 772-774

Sommaire du Fascicule no. 5

A linear optimal control problem
p. 783-799
A necessary and sufficient criterion, and the precise asymptotics of stability in the first approximation
p. 800-813
The existence of a family of periodic solutions of a system of two second order differential equations
p. 814-823
On the question of the stability of quasiperiodic motions
p. 824-832
A generalization of Ljapunov's first theorem on stability to certain classes of differential equations in a Banach space
p. 833-847
The stability of the state of equilibrium of systems of differential equations
p. 848-855
On the question of stability under constantly acting perturbations
p. 856-861
Integral equations with a discontinuous operator
p. 862-873
The behavior of the integral surfaces of a homogeneous Pfaffian differential equation in the vicinity of singular rays
p. 874-879
The existence and uniqueness of the solutions of differential equations with a retardation which depends on the solution and its derivative
p. 880-889
A certain problem with a small parameter
p. 890-897
A partially characteristic mixed problem with Goursat initial conditions for linear equations with two-dimensional time
p. 898-910
Estimates of the $L_p$ norms of derivatives by a nonregular set of differential operators
p. 911-921
Some model equation systems of gas dynamics
p. 922-934
Certain plane problems of electrostatics which are connected with the conformal mapping of circular quadrangles
p. 935-944
The interdependence of harmonic functions of different dimensionality
p. 945-951
Necessary optimality conditions for a system of integral equations
p. 952-953
Certain criteria for the stability of the transformation of a locally integrable signal by a transmission system
p. 954-957
On a variant of the averaging method for systems of integro-differential equations
p. 958-961
A solution of a certain problem in control theory
p. 962-963
Isochronism in the case of a focus
p. 964-966
Asymptotic formulae for the eigenvalues and eigenfunctions of a Sturm–Liouville type problem
p. 967-970

Sommaire du Fascicule no. 6

The structure of the asymptotically stable invariant sets of structurally stable autonomous systems of differential equations
p. 979-991
Bounded transformations of Banach spaces of generalized functions, realizable by dynamical systems
p. 992-1001
Construction of an asymptotic solution of a system of linear differential equations with slowly varying coefficients in the case of multiple elementary divisors
p. 1002-1009
Generalized solutions of systems with control
p. 1010-1017
On the analytic theory of infinite systems of linear differential equations
p. 1018-1028
The number of periodic solutions of a first order differential equation with right-hand side in the form of an incomplete polynomial
p. 1029-1036
An analogy between the solutions of perturbed and unperturbed systems and the completeness of a divided diagonal matrix
p. 1037-1054
Eigenvector theory and reducible $m$th order systems
p. 1055-1067
The relative controllability of linear systems with variable and distributed retardation
p. 1068-1075
The reduction of dynamical systems to triangular form
p. 1076-1082
A new method of research on the isochronism of a system of two differential equations
p. 1083-1090
Behavior of solutions in the large of a certain nonlinear system encountered in the theory of automatic control
p. 1091-1100
Uniform approximation of sets and proximality in partially ordered dynamical systems
p. 1101-1106
Generalized Bernšteǐn conditions for nonlinear systems of ordinary differential equations
p. 1107-1113
Conditions for the negativity of the Green's function of a Sturm–Liouville problem for a second order linear ordinary differential equation
p. 1114-1119
The number of operations in the investigation of the singular point of a generalized Briot–Bouquet equation in the quasi-analytic case
p. 1120-1127
The nonlocal extendability of the solutions of differential equations with retarded argument
p. 1128-1130
Differential equations with involutions
p. 1131-1137
Рецензия. Б. П. Демидович «Лекции по математической теории устойчивости»
Bibliography of journal articles
p. 1139-1149

Sommaire du Fascicule no. 7

The cycles of a certain first order equation
p. 1159-1166
Systems with integral division which are everywhere dense in the set of all linear systems of differential equations
p. 1167-1170
The comparison principle with a vector-valued Ljapunov function. III
p. 1171-1185
The highest exponent of a linear system with exponential perturbations
p. 1186-1192
Approximate solution of certain equations with parameters
p. 1193-1206
An application of Ljapunov's second method for the investigation of stability and asymptotic stability of sets in dispersive dynamical systems.
p. 1207-1217
The stability of the solutions of integro-differential equations with retarded argument
p. 1218-1224
Finite difference methods for equations of parabolic type in a Banach space
p. 1225-1235
Frommer's first distinguishing problem for perturbations from Osgood and Tamarkin classes
p. 1236-1246
A certain criterion for the stability of difference equations
p. 1247-1255
The asymptotic behavior of the solutions of differential equations with retarded argument
p. 1256-1266
The vibrations of a mathematical pendulum with a shock impulse
p. 1267-1274
The Maxwell-Leontovič operator
p. 1275-1282
Certain new boundary value problems for a certain kind of partial differential equations. III
p. 1283-1295
The solution of certain problems of mathematical physics
p. 1296-1302
A certain variational problem
p. 1303-1312
A certain mixed problem of elasticity theory
p. 1313-1320
The singularities of the solutions of certain systems of differential equations
p. 1321-1323
A certain differential inequality
p. 1324-1325
A certain method of construction of Ljapunov functions, and the dissipativity of multidimensional systems
p. 1326-1329
The limit cycles of a certain class of differential equations
p. 1330-1334
Examples of the generation of a limit cycle from a separatrix loop and a singular cycle
p. 1335-1337
Dependence of the periodic solutions of a third order system of differential equations on parameters
p. 1338-1340

Sommaire du Fascicule no. 8

Homeomorphy of dynamical systems
p. 1351-1359
On the control of a linear system by generalized actions
p. 1360-1370
The action of a Markov process on a system of differential equations
p. 1371-1384
Estimation of solutions, and stability on a finite interval, of pseudolinear systems
p. 1385-1389
Application of topological methods to nonlinear boundary value problems for ordinary differential equations
p. 1390-1397
The connection between the solutions of two systems of differential equations
p. 1398-1404
The spaces $L_{p,\varphi}$ and equations of evolution
p. 1405-1414
Finite difference methods for nonlinear evolutionary equations
p. 1415-1425
A certain method of differential descent
p. 1426-1430
On the theory of the Cauchy limit problem for differential equations with unbounded operator in a Banach space
p. 1431-1437
The dissipativity of a certain two-dimensional system
p. 1438-1444
Cases of the Wiener–Hopf equation on a quadrant of the plane
p. 1445-1457
An abstract scheme for the examination of parabolic problems in noncylindrical regions
p. 1458-1469
The fundamental solutions of certain singular partial differential equations
p. 1470-1483
The application of integral transforms to the solution of a certain class of inverse problems of potential theory
p. 1484-1494
An investigation of the solvability of perturbed parabolic equations in a Banach space, and a generalized Bubnov–Galerkin method for their approximate solution
p. 1495-1502
The stability of strong discontinuities which are regulated by the equations of hydrodynamics and which simulate combustion and detonation processes
p. 1503-1508
An investigation of the Green's function of a second order differential equation in regions with infinite boundary
p. 1509-1516
Taking into account the symmetry in the solution of boundary value problems by variational methods
p. 1517-1522
First order nonlinear matrix-valued differential equations
p. 1523-1525
A certain problem in the general theory of dynamical systems which arises in the theory of linear systems of differential equations
p. 1526-1531
A multipoint boundary value problem for a system of differential equations
p. 1532-1534
A certain $n{\rm th}$ order inhomogeneous linear differential equation
p. 1535-1536
A remark on the article “A certain criterion for Ljapunov stability”
p. 1537-1538

Sommaire du Fascicule no. 9

Евгений Алексеевич Барбашин
p. 1547-1549
A qualitative investigation of potential systems
p. 1550-1557
The periodic vibrations of nonlinear systems with resonance. I
p. 1558-1574
The locally integrable periodic motions of a nonlinear transmission system
p. 1575-1582
The Cauchy problem for a second order linear equation with small parameter which degenerates in the limit to an equation with singular points
p. 1583-1593
Solution in finite form of certain second order linear systems of ordinary differential equations
p. 1594-1604
Some criteria for stability of motion
p. 1605-1613
The stability in the critical case of several pairs of pure imaginary roots for systems with aftereffect
p. 1614-1625
A Thomas–Fermi type equation
p. 1626-1634
Certain properties of linear differential operators
p. 1635-1641
Existence theorems for singular integral equations with discontinuous operator
p. 1642-1651
A certain integral formula for the solution of ordinary differential equations
p. 1652-1662
Starke Lösung des allgemeinen Problems einer Kreisscheibe im Strahlungsfeld eines magnetischen Dipols
p. 1663-1675
The behavior at infinity of solutions of a certain mixed problem
p. 1676-1689
Necessary conditions for operator quasianalyticity
p. 1690-1699
A second order nonselfadjoint differential operator on the half axis
p. 1700-1714
On controllability in Banach spaces
p. 1715-1718
A Ljapunov function for a certain class of self-regulation systems
p. 1719-1723
The completeness with respect to energy of systems of coordinate functions which one constructs by the method of $R$-functions
p. 1724-1726

Sommaire du Fascicule no. 10

Certain thermoelasticity problems solvable in quadratures. I, II
p. 1735-1761
The periodic vibrations of nonlinear systems with resonance. II
p. 1762-1774
Structurally stable properties of linear systems of differential equations
p. 1775-1784
Necessary and sufficient conditions for the stability of the characteristic exponents of a diagonal system
p. 1785-1793
Necessary and sufficient conditions for the stability of the characteristic exponents of a linear system
p. 1794-1803
On the question of stability in the large
p. 1804-1810
Construction of the set of systems of differential equations corresponding to a given stable integral manifold
p. 1811-1820
On the question of the distribution of zeros of the solutions of a linear differential equation
p. 1821-1829
The type $D$ curves of the differential equation $(x+\xi)(x+\eta)yy'=P_3(x,y)$ which arise from a second order closed curve
p. 1830-1835
Regularization of ill posed problems, and a connection with the method of quasisolutions
p. 1836-1844
The behavior of a superharmonic function near the boundary of a region of type $A^{(1)}$
p. 1845-1853
Scattering of a plane wave by a “trap-like” region
p. 1854-1860
Asymptotic behavoir of the Green's function of the equation $p(x)\frac{\partial u}{\partial t}=(-1)^{n+1}\frac{\partial^{2n}u}{\partial x^{2n}}$ as $t\to+0$, $x\to\infty$
p. 1861-1874
Weighted estimates of the first derivatives of the solutions of the Dirichlet problem for nonuniformly elliptic nondivergence quasilinear equations in an unbounded region
p. 1875-1880
A certain generalization of the Frobenius theorem
p. 1881-1884
Determination of the region of stability of a second order linear differential equation with random coefficients of a special form
p. 1885-1888
The stability of the property that the solutions of linear differential equations shall possess asymptotic parabolas
p. 1889-1893
Volterra integral equations with infinite interval of integration
p. 1894-1898
The orthogonality of the derivatives of the eigenforms of the vibrations of an inhomogeneous rod
p. 1899-1900
Николай Николаевич Боголюбов (к 60-летию со дня рождения)
p. 1901-1908
Aleksandr Andreevič Samarskiǐ on his fiftieth birthday
p. 1909-1914

Sommaire du Fascicule no. 11

Certain thermoelasticity problems solvable in quadratures. I, II
p. 1923-1939
Fourier series in fundamental systems of functions of the Beltrami operator
p. 1940-1978
A proof of the existence of nonregular systems of linear differential equations with quasiperiodic coefficients
p. 1979-1983
The existence of families of periodic solutions of a system of $n$ second order differential equations in the resonance case
p. 1984-1989
Periodic solutions, and stability of a linear differential equation with periodic coefficients
p. 1990-2001
The singular two-point boundary value problem
p. 2002-2016
The behavior of the trajectories of a certain dynamical system
p. 2017-2025
Limit Cycles and analytic integrals
p. 2026-2033
The absence of smooth invariant tori with irrational rotation number for systems of differential equations with smoothly stable structure
p. 2034-2040
Solutions of a system of integro-differential equations in the neighborhood of a singular point. II
p. 2041-2049
The boundedness and stability of the solutions of integro-differential equations with retarded argument
p. 2050-2061
The stability of the solutions of a system of linear differential-difference equations in triangular form
p. 2062-2067
Homogeneous difference schemes for an ordinary differential equation of arbitrary order with discontinuous coefficients
p. 2068-2084
The periodic solutions of a certain nonautonomous system
p. 2085-2086
Periodic boundary value problems for certain differential equations
p. 2087-2092
Asymptotic behavior of the solutions of an ordinary second order differential equation
p. 2093-2095
A certain integral expansion in spherical functions of the first and second kind
p. 2096-2100
The collocation method for two-dimensional integral equations
p. 2101-2105

Sommaire du Fascicule no. 12

The periodic vibrations of nonlinear systems with resonance. III
p. 2115-2128
The comparison principle with a vector-valued Ljapunov function. IV
p. 2129-2143
Poisson stable solutions of differential equations, and topological dynamics
p. 2144-2155
The stability in the large of a motion definable by a single third order nonlinear system
p. 2156-2164
The solutions of a certain integro-differential equation
p. 2165-2172
Fredholm integral equations of the second kind in the problem of the diffraction of a plane wave by a slit
p. 2173-2199
Mixed problems for certain semihyperbolic equations
p. 2200-2215
Parabolic equations on the plane and semigroups
p. 2216-2224
Almost periodic and periodic solutions of the problem with oblique derivative for parabolic equations
p. 2225-2236
A representation formula for the solutions of an inhomogeneous boundary value problem with Bessel's operator
p. 2237-2244
An investigation of certain classes of second order quasilinear elliptic equations. I
p. 2245-2257
The solution of the generalized Cauchy–Dirichlet problem for the linear polycaloric equation
p. 2258-2266
An example of a solution not extendable to the whole axis of a second order differential equation of oscillatory type
p. 2267-2268
A method of imaginary quadratures
p. 2269-2271
On the question of the convergence of differential descent
p. 2272-2273
A certain characteristic of normally solvable extensions of a minimal operator
p. 2274-2275
The Čaplygin theorem for a first order quasilinear partial differential equation
p. 2276-2277