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1979, Volume 15, Number 6  


Ordinary Differential Equations
The number of linearly independent compacta of a system of differential equations
N. I. Vulpe
963
The stability of periodic motion
S. V. Zubov
974
Some remarks on singular differential inequalities
G. G. Kvinikadze
980
A priori estimates of solutions of boundary value problems for some differential-operator equations of even order
F. E. Lomovtsev
991
Periodic trajectories and the structure of phase diagrams
S. Yu. Pilyugin
1000
Nonautonomous differential games
E. S. Polovinkin
1007
Stability for differential equations with discontinuous and multivalued right-hand sides
A. F. Filippov
1018
Examples of Ljapunov unstable points of positive attraction
A. A. Shestakov, Yu. N. Merenkov
1028
On the question of estimates for the Green function of a two-point boundary value problem
B. L. Shekhter
1036
A general method for solving a second-order homogeneous linear equation
N. E. Tsapenko
1050

Partial Differential Equations
A system of parabolic equations containing a small parameter multiplying a derivative with respect to time
V. G. Borisov
1054
Hyperbolic operators with a given higher-order part
G. G. Kazaryan
1059
The regularity of a point for the Dirichlet problem and the fine topology
D. V. Kapanadze
1070
Optimal control of systems described by general elliptic problems
Ya. A. Roitberg, Z. G. Sheftel
1075
Some applications of $p$-analytic functions in the theory of filtration in nonhomogeneous soil
D. Z. Khoang
1088

Integral Equations and Integral-Differential
General integral equations of the third kind
V. B. Korotkov
1097
An application of integro-differential equations in the problem of synthesizing linear optimal systems with delay
A. M. Rodionov
1106
The stability of multicomponent systems
S. V. Temko, S. K. Kuz'min
1113
Block method for solving two-dimensional Volterra integral equations of the first kind
Teng Meng Yan
1121

Short Communications
Über die Konstruktion Greenscher Funktionen des Laplace-Operators in krummlinigen Koordinaten
I. A. Davydov, Yu. A. Mel'nikov, V. A. Nikulin
1127
Die Fundamentalität eines Systems von Lösungen einer homogenen Differentialgleichung
A. V. Dedushev, Yu. F. Korobeinik
1129
Die Bestimmung der Grenzzykel bei Systemen, die bezüglich einer ihrer Ableitungen nicht explizit sind
V. È. Zhavnerchik
1130
A formulation of the inverse problem for a parabolic equation
M. V. Klibanov
1132
On the question of the compatibility of an equation of Fuchs class with certain Painlevé equations
M. E. Kostyukovich
1135
An investigation of the problem of longitudinal vibrations of a nonuniform relaxing viscoelastic rod
S. S. Krickaya, D. I. Rogach
1138
Über die Lösung gewisser Integrodifferentialgleichungen mit abweichendem Argument
Kh. Yu. Kurdanov
1141
Über die Anfangsmannigfaltigkeit und die Dissipativität des Cauchyproblems für die Gleichung $Ax'(t)+Bx(t)=0$
N. I. Radbel
1142
Properties that arise in the relay stabilization of stable oscillations
E. Ya. Smirnov
1144
 
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