Review articles


Inverse problems of dynamics and problems of control of the motions of material systems A. S. Galiullin

1535 

Ordinary Differential Equations


The Cauchy problem for differential equations with retarded argument N. V. Azbelev, L. F. Rakhmatullina

1542 

Necessary conditions for the extremum of a function V. G. Boltyanskii

1553 

On the question of solutions that are close to continuous ones in a system of conditionally stable type with a small parameter multiplying the derivatives A. B. Vasil'eva

1560 

Positive cycles in a system with a limiting factor Yu. I. Gil'derman, K. N. Kudrina

1569 

Nonstability of the exponent of exponential separatedness of the solutions of a system of differential equations and nonsymmetry of the relation of almost reducibility of systems of differential equations with integral separatedness of the solutions S. A. Grishin

1577 

Dynamical systems with aftereffect V. K. Dubolar'

1587 

A certain method of solving linear differential equations of order $n\leq +\infty $ A. A. Tunda

1598 

Partial Differential Equations


Fractional powers of elliptic operators and isomorphism of classes of differentiable functions Sh. A. Alimov

1609 

The branchings of the solutions of a certain class of nonlinear partial differential equations Ya. V. Bykov, K. A. Kiriy

1627 

Wellposed formulation of a mixed problem for the nonstationary transport equation Yu. A. Kuznetsov, S. F. Morozov

1639 

The fundamental solutions of a certain class of ellipticparabolic second order equations L. P. Kuptsov

1649 

Finite difference equations


Difference methods of solving illposed Cauchy problems for evolution equations in a complex $B$space A. B. Bakushinskii

1661 

The method of successive approximations in connection with second order differential equations Ya. B. Kadymov, G. B. Abdulov

1669 

Factorized Rothe schemes for quasilinear parabolic equations A. D. Lyashko

1674 

Short Communications


Investigation of the qualitative behavior of the trajectories of a certain system of differential equations V. T. Borukhov

1682 

The stability of relay systems A. Kh. Gelig

1684 

On the theory of optimal processes in linear systems S. Daiovich

1687 

Limit cycles in the case of the center M. V. Dolov

1691 

The stability of multicomponent periodic motions V. I. Zubov

1693 

The Čaplygin problem for a certain first order differential equation G. S. Krechetov

1695 

Regularization of equations with a closed operator O. A. Liskovets

1698 

The boundedness and unboundedness of the solutions of a second order ordinary differential equation S. N. Olekhnik

1701 

The stability of certain systems with transformed argument V. P. Skripnik

1705 

Investigation of the trajectories of a certain dynamical system V. F. Filiptsov

1709 