Maqola

On the control problem for a pseudo-parabolic equation with involution in a bounded domain

Farrukh DekhkonovNamangan State UniversityBatirkhan Kh. TurmetovInternational Turkmen-Turkish University

Russian Universities Reports Mathematicsjournal2025

ABI

Annotatsiya

This paper considers a control problem for a pseudo-parabolic equation with an involution operator in a bounded domain. A generalized solution to the corresponding initial boundary value problem is obtained. By introducing an additional integral condition, the control problem is reduced to a Volterra integral equation of the first kind. To show that the integral equation has a solution, some estimates are obtained for the kernel of this integral equation. The existence of a solution to the integral equation is shown using the Laplace transform method and the admissibility of the control function is proved.

Mavzular

Differential Equations and Boundary Problems Stability and Controllability of Differential Equations Soil, Finite Element Methods

Identifikatorlar

DOI: 10.20310/2686-9667-2025-30-152-322-337

Iqtiboslar va manbalar

0 ta iqtibos30 ta foydalanilgan manba

Koʻrsatkichlar — AkademScholar · Tez orada