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1988, Volume 24, Number 9  


Ordinary Differential Equations
A problem of spline control of nonlinear systems
V. V. Gusar
1475
On the theory of differential-difference equations with delay that is commensurable with the period of the coefficients
A. M. Zverkin
1481
Stability of the central exponents of linear systems. III
O. G. Illarionova
1492
Stability of differential-difference equations with and without a derivative
V. G. Kurbatov
1503
A variational problem for a dynamic potential
S. A. Laptev
1509
Normal local controllability
A. A. Liverovskiy, N. N. Petrov
1520
On the rate of growth of solutions, meromorphic in an angular domain, of differential equations
A. Z. Mokhon'ko
1528
A game-theoretic problem with finitely additive programs. II
A. B. Pashaev
1536
The averaging principle for stochastic functional-differential equations
A. E. Rodkina
1543
Integral representation of trajectories of a controllable system with a generalized right-hand side
A. V. Sarychev
1551
On the structure of the Levinson center of a dissipative dynamical system
D. N. Cheban
1564

Partial Differential Equations
Group classification and exact solutions of equations of plane and rotational-symmetric flow of an ideal fluid in Lagrangian coordinates
V. K. Andreev, A. A. Rodionov
1577
The inverse scattering problem in the theory of elasticity
M. Ismatov
1586
The heat equation and the wave equation on graphs
V. V. Mityushev
1591
Periodic solutions of a weakly nonlinear wave equation with an irrational relation of period to interval length
P. I. Plotnikov, L. N. Yungerman
1599
Solvability of an inhomogeneous problem for the generalized Boussinesq filtration equation
G. A. Sviridyuk, I. N. Semenova
1607
A dynamical system of billiard type
R. P. Tarasov
1611
Variational inequalities in contact plastic problems
A. M. Khludnev
1622

Short Communications
Integro-differential operators for harmonic functions in convex domains and their applications
I. I. Bavrin
1629
Justification of a difference scheme of an increased order of accuracy for the Dirichlet problem for the Poisson equation in classes of generalized solutions
S. A. Voitsekhovskii, V. N. Novichenko
1631
Construction in the large of polynomial solutions with a given exponent
V. N. Gorbuzov, V. S. Nemets
1633
Sufficient conditions for the center for a two-dimensional autonomous system whose right-hand sides are polynomials of the third degree
V. G. Compel
1636
A multidimensional analogue of a criterion for Poincaré orbital stability
G. A. Leonov
1637
A third-order equation of Painlevé type
I. P. Martynov, V. A. Pron'ko
1640
Some solutions of the homogeneous Darboux problem for a degenerate hyperbolic equation
Ho K'ang Cher
1641
The Cauchy problem for some integro-differential equations in a Hilbert space
V. I. Chesalin
1644
The stability of solutions of periodic systems of differential equations with a selected switching
T. È. Mozhdzher
1646
On a qualitative property of solutions of biharmonic equation on plane
V. V. Novikov
1648
Zeros of the eigenfunctions of the singular operator $(-\Delta)^m+q(x)$
A. K. Pulatov
1649
 
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