Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration
Азғындалған сызықты емес псевдопараболалық теңдеу үшiн бастапқы-шеттiк есептiң шешiлiмдiлiгi
Разрешимость начально-краевой задачи для нелинейного псевдопараболического уравнения с вырождением
Aitzhanov S.E. Tileuberdi Zh. Sanat G.
2022E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2022#105Issue 14 - 12 pp.
This article is devoted to the solvability of degenerate nonlinear equations of pseudoparabolic type. Such problems appear naturally in physical and biological models. The article aims to study the solvability in the classes of regular solutions of (all derivatives generalized in the sense of S.L. Sobolev included in the equation) initial-boundary value problems for differential equations. For the problems under consideration, We have found conditions on parameters ensuring the existence of solutions and we have proved existence and uniqueness theorems. The main method for proving the solvability of boundary value problems is the regularization method.
boundary value problems , degenerate equations , nonlinear equations , pseudo parabolic equations , solvability , uniqueness
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Al-Farabi Kazakh National University, Almaty, Kazakhstan
International Information Technology University, Almaty, Kazakhstan
Al-Farabi Kazakh National University
International Information Technology University
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