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Article · BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS · September 30, 2023

Bounded on the semi-axis multiperiodic solution of a linear finite-hereditarity integro-differential equation of parabolic type

Zh.А. Sartabanov, G. M. Aitenova

Gulsezim Aitenova
Open via DOIPDFDOI 10.31489/2023m3/109-121

Abstract

The question of the existence of a solution of linear integro-differential systems of parabolic type limited on the semiaxis in a spatial variable and multiperiodic in time variables was considered. Sufficient conditions of multiperiodic oscillations in time variables in a linear homogeneous equation with a boundary condition and in a linear inhomogeneous equation were established. A linear homogeneous and inhomogeneous finitehereditarity integro-differential equation of convective-diffusion type were investigated.

Differential Equations and Boundary ProblemsNonlinear Differential Equations AnalysisStability and Controllability of Differential Equationslinear integro-differential equationsparabolic equationsexistence of solutions

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