We prove the correct solvability of the nonlocal multipoint (in time) problem for the evolutionary equation with pseudodifferential operator in the space of generalized periodic functions and an initial function, which is ...

The aim of the present paper is to investigate of some properties of periodic solutions of a nonlinear autonomous parabolic systems with a periodic condition. We investigate parabolic systems of differential equations using ...

We prove the existence of periodic solutions in autonomous parabolic system of differential equations with weak diffusion on the circle. We study the existence and stability of an arbitrarily large finite number of cycles ...

In paper the topological structure of generalized spaces of S type and the basic operations in such spaces was investigated. The question of quasi-analyticity (non-quasi-analyticity) of generalized spaces of S type was ...

We construct Holtsmark distributions of nonstationary fluctuations of the local interactions of moving objects for a system in which the action of gravitation influence is governed by a power law. We deduce a pseudodifferential ...

For systems hyperbolic in Shilov’s sense whose coefficients are continuous functions of time, we study the properties of the Green function in S-type spaces. For systems of this kind in the indicated spaces, we prove that ...

For a second-order parabolic equation with degenerations, we construct the solution of the problem of optimal control for systems described by the first boundary-value problem with internal and startup controls. The ...

This article describes two implementation models of an artificial vision for specific tasks of localization of objects in three-dimensional space using a stereoscopic system of two cameras. The periscopic model provides ...