
A linear optimal control problem V. G. Boltyanskii

783 

A necessary and sufficient criterion, and the precise asymptotics of stability in the first approximation R. È. Vinograd

800 

The existence of a family of periodic solutions of a system of two second order differential equations I. A. Pasynkova

814 

On the question of the stability of quasiperiodic motions A. S. Gurtovnik, Yu. I. Neimark

824 

A generalization of Ljapunov's first theorem on stability to certain classes of differential equations in a Banach space E. N. Gersht

833 

The stability of the state of equilibrium of systems of differential equations M. M. Khapaev

848 

On the question of stability under constantly acting perturbations N. G. Bulgakov

856 

Integral equations with a discontinuous operator N. V. Azbelev, R. K. Ragimkhanov, L. N. Fadeeva

862 

The behavior of the integral surfaces of a homogeneous Pfaffian differential equation in the vicinity of singular rays M. V. Kozhero

874 

The existence and uniqueness of the solutions of differential equations with a retardation which depends on the solution and its derivative L. A. Zhivotovskii

880 

A certain problem with a small parameter M. S. Nikol'skii

890 

A partially characteristic mixed problem with Goursat initial conditions for linear equations with twodimensional time N. J. Yurchuk

898 

Estimates of the $L_p$ norms of derivatives by a nonregular set of differential operators G. G. Kazaryan

911 

Some model equation systems of gas dynamics Ya. I. Kanel'

922 

Certain plane problems of electrostatics which are connected with the conformal mapping of circular quadrangles È. D. Pergamentseva

935 

The interdependence of harmonic functions of different dimensionality Yu. A. Dement'ev

945 

Short Communications


Necessary optimality conditions for a system of integral equations R. Gabasov

952 

Certain criteria for the stability of the transformation of a locally integrable signal by a transmission system S. T. Zavalishchin

954 

On a variant of the averaging method for systems of integrodifferential equations A. N. Filatov, L. I. Talipova

958 

A solution of a certain problem in control theory N. N. Petrov

962 

Isochronism in the case of a focus V. I. Chemodanov

964 

Asymptotic formulae for the eigenvalues and eigenfunctions of a Sturm–Liouville type problem S. S. Krickaya

967 