Volume 12, Issue 1

Investigation of a linear optimal control problem with state constraints
Arutyunov A. V., Zhukov D. A.

The optimal synthesis for specified linear optimal control problem with state constraints is found by using the Pontryagin maximum principle.

Article (rus.) - [pdf] [zip-pdf]

To concept "middle" of affine planes
Yemelchenkov Y. P., Shatohin N. L.

Some approaches to the definition of <> in an affine plane are offered; it is proved that in any leftalternative plane all given definitions are equivalent.

Article (rus.) - [pdf] [zip-pdf]

Fundamental solution of initial-boundary value problem for fourth-order pseudoparabolic equations with nonsmooth coefficients
Mamedov I. G.

In this paper the fundamental solution of initial-boundary value problem for pseudoparabolic equations with dominated derivatives of fourth order with nonsmooth coefficients is constructed.

Article (rus.) - [pdf] [zip-pdf]

Method of successive approximations for the problem of fluid flow in a deformable domain
Morgulis A. B.

We justify an iterative procedure for the solving of the general initial-boundary value problem of the inviscid fluid dynamics in the case of deformable flow domain. Using this approach we prove the existence and uniqueness of the solution.

Article (rus.) - [pdf] [zip-pdf]

Justification of the principle of Saint-Venant for a naturally twisted rod
Ustinov Yu. A.

The paper gives the mathematical evidence of the principle of Saint-Venant for a naturally twisted rod.

Article (rus.) - [pdf] [zip-pdf]

Osipenko Konstantin Jurevich
(on his 60's anniversary)

This year is the 60th birthday of Konstantin Jurevich Osipenko, the remarkable mathematician and the fine person.

Article (rus.) - [pdf] [zip-pdf]