Geodesic

Sommaire du Fascicule no. 1

От редакции
p. 3-4
On stabilization of dynamic systems by supplementary forces
p. 5-16
On the existence of a family of periodic solutions for a system of differential equations in case of zero roots
p. 17-24
Forces sliding regimes in automatic control systems
p. 25-32
On a Hartman-Wintner problem
p. 33-40
Asymptotic characteristics of nonlinear differential systems
p. 41-52
On the number of limit cycles in the neighborhood of a singular point
p. 53-66
Differential equations whose solutions have no singular points in the finite plane
p. 67-78
On the rational solutions of the second Painlevé equation
p. 79-81
Integral curves of a certain differential equation
p. 82-95
On the stability of motions of a system with random lags
p. 96-101
On a theory of linear differential equations with after-effect
p. 102-116
Diffraction of a plane electromagnetic wave by two pairs of parallel coaxial cylinders
p. 117-130
Cauchy problem for the Laplace equation in an infinite strip
p. 131-136
О книге Ю. А. Митропольского «Проблемы асимптотической теории нестационарных колебаний»
p. 137-140

Sommaire du Fascicule no. 2

On a certain property of a linear stable system completely controlled by a random external action
p. 143-152
On the reduction of an analytic system of differential equations to linear form
p. 153-161
Denumerable systems of differential equations and their applications
p. 162-170
On the stabiity of the zero solution for a certain class of $n$th order differential equations
p. 171-175
On conditions for a center
p. 176-181
On complex cycles for a certain differential equation
p. 182-186
On circular motions of a double pendulum
p. 187-195
On the stability of the trivial solution of a certain system of differential equations
p. 196-198
Remarks on a paper of S. Lefschetz
p. 199-203
On the analytical construction of a regulator in a system with control-dependent noise
p. 204-213
On a certain Volterra integral equation
p. 214-218
The first boundary value problem for a differential equation describing elastic equilibrium of a shallow cylindrical shell
p. 219-226
A remark on the instability of certain rules for a numerical solution of the Cauchy problem
p. 227-229
The method of integral relations for equations and systems of hyperbolic type
p. 230-243
On convergence and stability of the collocation method
p. 244-254
The hyperplane method in non-stationary problems with a self-conjugate operator
p. 255-259
Dynamical systems in the papers of the Kišinev seminar on the qualitative theory of differential equations
p. 260-266
The method of integral relations applied to the solution of the Goursat problem for a system of two equations of the first order
p. 267-274
Третий всесоюзный симпозиум по дифракции волн
p. 275-280

Sommaire du Fascicule no. 3

On the reducibility of systems with a quasiperiodic matrix
p. 283-294
The isochronism of a center of certain systems of differential equations
p. 295-302
The analytic structure and fundamental properties of solutions of equations with algebroidal right-hand sides in case of focus and generalizations
p. 303-312
Methods for making trajectories tend to a limit cycle in case of a system of three differential equations with non-analytic right-hand sides
p. 313-317
On an analytic theory of systems of linear differential equations with an irregular singular point
p. 318-326
Solution of an infinite boundary value problem for a certain equation of the third order
p. 327-329
Some existence theorems for a periodic solution of an autonomous system of six differential equations
p. 330-334
A theorem on a differential inequality for a periodic boundary value problem for an ordinary differential equation of the second order
p. 335-345
Classification of multi-dimensional systems of ordinary differential equations by the method of Ljapunov functions
p. 346-356
On the existence of an interval of stability of motion according to the first approximation
p. 357-359
On calculation of optimal control in a system with incomplete information
p. 360-373
On vibrations of a double pendulum
p. 374-386
On the existence and extendability of the solution of a system of Volterra integral equations whose right-hand side is a discontinuous operator
p. 387-392
The Fourier method for nonstationary equations with general boundary conditions
p. 393-399
On the diffraction of a plane electromagnetic wave by an array of coaxial cylinders
p. 400-410
Application of the theorem of differential inequalities to the Goursat problem for a linear system of partial differential equations
p. 411-420
О регулярных неоднородных сеточных схемах и квазиустойчивости
p. 421-425
Новые книги
p. 426-427

Sommaire du Fascicule no. 4

On the problem of a differential inequality
p. 431-438
Qualitative investigation in the large of integral curves of isochronous systems of two differential equations
p. 439-441
Certain existence theorems for a periodic solution and theorems on determining the boundary of a region of asymptotic stability of the trivial solution of a system of ordinary differential equations
p. 442-448
On solution of ordinary differential equations by the method of isolation of a derivative with multiplication
p. 449-463
Limiting cycles of infinite multiplicity
p. 464-466
On asymptotic behavior of solutions of the $n{\rm th}$ order linear differential equation with retarded argument
p. 467-468
On a set of lower indices of a linear differential system
p. 469-477
On certain properties of solutions of linear difference equations approximating differential equations in the interval of non-oscillation
p. 478-498
Nonlinear magnetohydrodynamic waves
p. 499-522
Classical solution of mixed problems for nonstationary equations
p. 523-528
Diffraction of electromagnetic waves radiated by an electric dipole on two coaxial disks
p. 529-534
Investigation of the solutions of a certain class of integro-differential equations
p. 535-544
An analogue of the Runge–Kutta method for the solution of nonlinear integral equations of Volterra type
p. 545-556
В. А Плисс. Нелокальные проблемы теории колебаний. Изд-во «Наука», М., 1964
p. 557-559
Информация о Самаркандском симпозиуме
p. 560-563

Sommaire du Fascicule no. 5

An investigation of a homogeneous equation of the first order not solved with respect to the derivative
p. 567-581
Sufficiency conditions for isochronism of canonical systems of two differential equations
p. 582-584
On the question of the existence of bounded particular solutions and of particular solutions tending to zero as $t\rightarrow +\infty $ for a system of ordinary differential equations
p. 585-604
On stabilization of control systems with delay
p. 605-618
Классы движений с периодами в частично упорядоченных динамических системах
p. 619-624
On a differential inequality for a boundary value problem
p. 625-630
The one-dimensional scattering problem in the quasi-classical approximation. I
p. 631-646
On the solution of mixed problems for partial differential equations
p. 647-662
Certain problems for the heat transfer equation with mixed boundary conditions
p. 663-670
Homogeneous difference schemes on irregular networks for a differential equation of the fourth order with discontinuous coefficients
p. 671-686
On difference methods for the solution of boundary value problems for differential equations of elliptic type
p. 687-691
On a numerical method for solution of a differential equation of the first order
p. 692-697
On a system of partial differential equations the solution of which can be reduced to that of an equation of Clairaut type
p. 698-700
Г. Н. Положий. Уравнения математической физики. Изд-во «Высшая школа», М., 1964
p. 701-704

Sommaire du Fascicule no. 6

On asymptotically equivalent linear differential systems
p. 707-716
On integral perturbations in differential equations with high frequency oscillations of the solutions
p. 717-730
Elementary solutions of certain Painlevé equations
p. 731-735
On the existence and uniqueness of a limiting cycle for many-dimensional autonomous systems
p. 736-741
Integral curves of a generalized homogeneous differential equation of the first order
p. 742-757
On a periodic boundary value problem for a linear differential equation of the fourth order
p. 758-763
Remarks on the realization of integral curves for equations of the type $\dot x=f(t,x,x(t- \tau ))$ on certain two-dimensional manifolds
p. 764-766
On a certain class of integro-differential equations
p. 767-772
On the difference between the method of series expansion with respect to a parameter and that of successive approximations for the solution of nonlinear integral equations
p. 773-785
Present day problems of the theory of boundary value problems for analytic functions and of singular integral equations
p. 786-798
On the smoothness of thermal potentials
p. 799-839
Über eine Aufgabe der Wärmeausbreitung in einem rotierenden Zylinder
p. 840-846
Библиография журнальных статей
p. 847-848

Sommaire du Fascicule no. 7

On singular periodic solutions of systems of ordinary differential equations
p. 851-867
Systems of linear differential equations with a small parameter coefficient of some of the derivatives
p. 868-879
An analytic solution of a linear system of differential equations with periodic coefficients depending on a parameter
p. 880-895
Analytic structure of the solution of the equation $(2.5)$
p. 896-902
On the question of the Čaplygin method for the Cauchy problem
p. 903-907
On stabilization of control systems with delay in the critical case of one zero root
p. 908-922
On the problem of an approximate solution for systems of ordinary differential equations based on Čaplygin's method
p. 923-928
Ljapunov functions for linear systems of difference equations with variable coeffiecients
p. 929-932
On the existence, uniqueness and estimates of te solution of a certain boundary value problem
p. 933-945
Solving the Dirichlet problem by a method of corrections with higher order differences. I, II
p. 946-960
The integration of regularized equations of the two-body problem
p. 961-976
On eigenvalues and eigenfunctions of integro-differential operators
p. 977-989
Библиография журнальных статей
p. 990-992

Sommaire du Fascicule no. 8

On the question of variability of solutions of nonlinear differential equations
p. 995-1006
Zum Problem der optimalen Steuerung eines mathematischen Pendels
p. 1007-1015
On the connection between the stablity of stochastic difference and differential systems
p. 1016-1026
On integral inequalities for a system of Volterra equations whose right-hand side is a discontinuous operator
p. 1027-1041
Analytic representation of the solution of a system of linear differential equations with almost periodic coefficients which depend on a parameter
p. 1042-1053
The estimates of eigenvalues of certain operators with a discrete spectrum
p. 1054-1069
Solving the Dirichlet problem by a method of corrections with higher order differences. I, II
p. 1070-1084
Dirichlet problem for a region with a non-Lipschitz boundary
p. 1085-1098
Application of the theory of boundary value problems and singular integral equations in the theory of automatic control
p. 1099-1107
General singular equation in an exceptional case
p. 1108-1116
«Метод контурного интеграла и его применение к исследованию задач для дифференциальных уравнений»
p. 1117-1124
Новые книги
p. 1125-1126
Семинар-симпозиум на тему «Второй метод Ляпунова и его применение в энергетике»
p. 1127-1128

Sommaire du Fascicule no. 9

On the stability of discontinuous systems with almost reducible linear approximations
p. 1131-1139
Generalized characteristic numbers of non-autonomous systems
p. 1140-1148
Transformation of time in problems of stability with respect to the first approximation
p. 1149-1154
On the number of operations used in Frommer's method for investigation of a singular point of a differential equation
p. 1155-1176
On the stability in the large of the zero-solution of a coalescing system
p. 1177-1182
On differential inequalities for equations with retarded argument
p. 1183-1189
Certain problems on eigenvalues for integro-differential equations with a small parameter coefficient for the higher derivative
p. 1190-1203
On the solution of regularized equations in perturbation theory
p. 1204-1230
On an approximate solution of boundary value problems for a certain class of elliptic systems
p. 1231-1245
An expansion formula connected with the boundary value problem with a complex parameter for systems of differential equations of the first order
p. 1246-1259
On boundedness conditions for the derivatives of bounded solutions of ordinary differential equations
p. 1260-1263
The representation of a solution of a certain Cauchy problem in the form of an integral residue
p. 1264-1266

Sommaire du Fascicule no. 10

On the Cauchy problem for singular systems of ordinary differential equations
p. 1271-1291
The analysis of a certain non-linear system by the method of separation of motions
p. 1292-1300
On the existence of the Ljapunov optimal function and of a continuous optimal control for a certain problem on analytic construction of regulators
p. 1301-1311
Non-stability in the critical case for solutions of a system of differential equations with discontinuous right hand sides
p. 1312-1320
Sturm–Liouville problem for a certain general linear differential equation
p. 1321-1337
Minimum principle of a quadratic functional for a hyperbolic equation
p. 1338-1365
Applicaton of the contour integral method to the solution of a problem connected with conjugation of hyperbolic and parabolic equations
p. 1366-1382
Spatial heat-conduction problems for certain bodies consisting of inhomogeneous material
p. 1383-1389
On a problem for a system of differential equations describing energy and mass transfer
p. 1390-1396
On the solution of a system of differential equations from the theory of heat and mass transfer
p. 1397-1405
On an integral transformation
p. 1406-1410
On the accuracy of a Carleman estimate
p. 1411-1412

Sommaire du Fascicule no. 11

On optimal control in the presence of discrete feed-back signals
p. 1415-1427
Families of periodic solutions of systems of differential equations of second order without dissipation
p. 1428-1448
On a class of systems of ordinary differential equations
p. 1449-1476
On an existence theorem for differential equations with discontinuous right-hand members
p. 1477-1481
Conditions for a center in the case of homogeneous nonlinearities of third degree
p. 1482-1487
On a method for constructing Ljapunov's function for linear systems with variable coefficients
p. 1488-1492
On a problem of optimal control connected with minimization of a functional of the type “maximum deviation”
p. 1493-1508
On asymptotic estimates for the spectral function of the Laplace operator
p. 1509-1524
The one-dimensional scattering problem in the quasi-classical approximation. II
p. 1525-1536
On the application of the Bubnov–Galerkin method to the solution of boundary value problems for regions of complicated form
p. 1537-1543
On the construction of a zero approximation by Čaplygin's method for the solution of the Cauchy problem for a system of ordinary differential equations
p. 1544-1547
Новые книги

Sommaire du Fascicule no. 12

The problem of observation of a linear dynamic system and equations with retarded argument
p. 1551-1556
A qualitative investigation of a certain differential equation of the second order in control theory
p. 1557-1567
Über die Stabilität eines Regelungssystems mit erzwungenem Kriechvorgang
p. 1568-1577
The conditions of discreteness and continuity of the spectrum in case of a self-conjugate system of even order differential equations
p. 1578-1591
On bounded solutions of a system of differential equations
p. 1592-1596
A generalization of a theorem of Perron
p. 1597-1600
Instability and conditional stability in the critical case of $n$ zero roots
p. 1601-1605
Analytic structure of the solution of the equation $(2.1)$
p. 1606-1619
Non-classical boundary value problems for symmetric linear systems of partial differential equations of the first order
p. 1620-1627
On a boundary value problem for a system of two differential equations
p. 1628-1639
On the solubility of a Cauchy problem with finite initial data
p. 1640-1646
On certain Hankel transformations
p. 1647-1651
“Co-stability” of conservative difference schemes for a differential equation and a system of differential equations of the fourth order with discontinuous coefficients
p. 1652-1661
The method of straight lines
p. 1662-1678
A certain theorem and a problem from the qualitative theory of differential equations
p. 1679-1681
An asymptotic formula for eigenvalues of a circular membrane
p. 1682-1685
Информация об Ижевском семинаре
p. 1686-1687