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1978, Volume 14, Number 8  


Ordinary Differential Equations
On the theory of functional-differential equations
M. E. Drakhlin, T. K. Plyshevskaya
1347
Stability and topological classification of invariant sets
Yu. V. Malyshev
1362
On the theory of duality in control systems
B. Mordukhovich, A. M. Sasonkin
1371
Averaging of boundary value problems in terminal optimal control problems
V. A. Plotnikov, T. S. Zverkova
1381
Averaging of quasilinear systems with several fast variables
N. A. Reimers, K. Sh. Khodzhaev
1388
The equivalence of systems of differential equations with reducing contraction
V. S. Samovol
1400
Asymptotic solution of certain optimal control problems with lags
A. I. Tret'yak
1414

Partial Differential Equations
A mixed problem for a second order degenerate hyperbolic equation with two variables
F. T. Baranovskii
1424
Solution of a boundary value problem for the Helmholtz equation in a layered space with a spherical inclusion
V. T. Erofeenko
1439
On the estimation of the classical solution of a mixed problem for a hyperbolic equation
È. L.  ulikov, V. Ph. Kirichenko
1448
Estimates of the derivatives of the solutions of linear equations of elliptic type on $E^n$ and related weighted imbedding theorems. II
A. S. Fokht
1455

Integral Equations
Some properties of the set of solutions of a Volterra–Hammerstein integral inclusion
A. I. Bulgakov, L. N. Lyapin
1465
Singular numbers of integral operators
B. D. Kotlyar
1473

Numerical methods
Difference schemes for quasilinear nonstationary problems. II
V. N. Abrashin, V. I. Lis
1478
A difference method with rectification of the fronts for the solution of nonlinear problems of Stefan type
V. A. Tsurko
1487

Short Communications
Asymptotic stability in nonlinear systems
O. V. Anashkin
1490
The Volterra model with a weakly linear hereditary characteristic
R. Anvarov, G. S. Larionov
1494
A system of integro-differential equations with a small parameter multiplying the derivative of conditionally stable type
M. P. Belyanin
1497
Stability of a dynamical system with a cylindrical phase space
Z. U. Blyagoz, G. A. Leonov
1502
The Grobman–Hartman theorem for extensions of dynamical systems
I. U. Bronshtein, V. A. Glavan
1504
Coercive solvability of abstract parabolic equations with a constant operator
V. V. Vasil'ev
1507
Potential functions of the field of radiation of an electric quadrupole in cylindrical coordinates
A. I. Glushtsov
1511
A method for lowering the order of linear differential equations
È. I. Grudo
1514
An isoperimetric problem
D. P. Zeragiâ
1516
Combination of Čaplygin and spline-collocation methods for the solution of ordinary differential equations
V. K. Saul'ev
1520
The calculation of eigenvalues and -vectors of linear operators on the basis of the theory of perturbations
N. A. Sidorov
1522
On the question of absolute exponential stability of linear differential equations of lagging type in a Banach space
V. E. Slyusarchuk
1526
 
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