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1983, Volume 19, Number 5  


Review articles
Development of research in the USSR in the theory of stability of motion
V. V. Rumyantsev
739

Ordinary Differential Equations
On the question of a functional-differential equation with an internal superposition operator
A. R. Abdullaev
777
On the theory of stability of ordinary differential systems and Pfaffian systems
È. I. Grudo
782
Impulse-sliding regimes in nonlinear dynamical systems
S. T. Zavalishchin, A. N. Sesekin
790
The theory of global properties of $n$th-order ordinary linear differential equations
F. Neiman
799

Partial Differential Equations
Addition theorems and integral transformations on classes of harmonic functions
V. T. Erofeenko
809
A priori estimates for solutions of quasilinear parabolic equations in the plane and their applications
V. L. Kamynin
818
Solution of a boundary value problem with mixed boundary conditions for a parabolic system
N. M. Mamedov
828
Boundary value problems in a half space with a boundary condition at a point
J. V. Rybalov
834
Estimates for solutions of equations of elliptic type in the $L_p$ metric
A. S. Fokht
845

Numerical methods
Numerical solution of stationary problems of a viscous incompressible fluid
P. N. Vabishchevich, T. N. Vabishchevich
852
Solution of nonstationary problems of heat conduction by the variational-difference method
V. M. Goloviznin, M. A. Ryazanov
860
The method of dynamic potentials for the numerical modeling of nonstationary problems of hydrodynamics with free boundaries
V. M. Goloviznin, N. A. Koptelova, O. G. Simacheva
870
One-step numerical methods for solving systems of second-order linear integro-differential equations of Volterra type
N. V. Denisenko, L. A. Yanovich
879

Short Communications
On the question of determination of one-sided delta functions in a complex domain
M. Imanaliev, P. S. Pankov
893
On the time-optimality problem for differential inclusions
L. A. Kun
897
Exponential growth of solutions of some partial differential equations
Z. G. Rudakova
899
Regularization of a system of boundary value problems
V. I. Rykov
901
Uniqueness of the limit cycle of the equation $(y-P_3(x))dy=P_1(x,y)dx$ in the presence of three singular points
G. S. Rychkov
904
New theorems on the instability of difference systems in the first approximation
V. E. Slyusarchuk
906
Stability of characteristics of diagonal systems of differential equations
T. V. Usacheva
909
Asymptotic equivalence of systems of ordinary differential equations and systems of differential equations with retarded argument
Ya. Futak
911
 
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