Ordinary Differential Equations


On the problem of the optimization of a controllable system in a class of a generalized actions T. F. Anan'ina

595 

Periodic oscillations with large amplitude Ya. V. Bykov, K. A. Kiriy

604 

Regularly dichotomic differential equations in a Banach space B. F. Bylov

611 

On a problem of N. P. Erugin R. È. Vinograd

632 

The asymptotic behavior of the solution of a system of two first order nonlinear differential equations R. G. Grabovskaya

639 

A study of the relay sampleddata systems by the method of point mappings V. A. Gustomesov

645 

Connectedness of certain sets of linear systems with integral separation K. A. Dib

659 

Singular solutions in optimization problems for dynamical systems with a quadratic quality test S. T. Zavalishchin, A. N. Sesekin

665 

The evasion problem for a certain class of nonlinar differential games N. Satimov

672 

The vanishing of the periodic solutions of quasihomogeneous systems that have only simple exceptional sets Yu. V. Churin

678 

The unique solvability of a certain linear twopoint boundary value problem B. L. Shekhter

687 

Partial Differential Equations


Difference schemes for a nonlinear parabolic equation that is not solved for the highest derivatives V. N. Abrashin

694 

The extremum principle for the generalized Neumann–Tricomi problem V. P. Egorov

708 

Estimates for functions with a finite O. V. Besov seminorm G. A. Kalyabin

713 

A boundary value problem for a second order operatordifferential equation of the type of the Tricomi equation N. V. Kislov

718 

Timeoptimality problems in the theory of the optimal control of transfer processes S. F. Morozov, V. I. Sumin

727 

Short Communications


On the theory of the approximate solution of a boundary value problem for a certain class of third order differential equations G. M. Amiraliev

741 

The stability of the solution of a certain nonlinear integral equation on a compact set V. P. Danilovich

745 

Necessary optimality conditions for singular extremals E. I. Zheleznov

749 

On the investigation of penalty functions with continuous parameter V. M. Krepkii

753 

A certain dense set in a space of linear systems V. M. Millionshchikov

755 

Uniqueness of the $O$curve along a direction that is analogous to the exceptional one S. K. Norkin

758 

A certain property of the solutions of a second order linear differential equation of unstable type with retarded argument A. L. Skubachevskii

760 