Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2022-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Online Access: | https://mathematics-vestnik.ksu.kz/apart/2022-105-1/1.pdf |
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| author | S.E. Aitzhanov Zh. Tileuberdi G. Sanat |
| author_facet | S.E. Aitzhanov Zh. Tileuberdi G. Sanat |
| author_sort | S.E. Aitzhanov |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T01:14:58Z |
| format | Article |
| id | doaj.art-af8fca9e7490492e9153114b4925eeec |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-12T01:14:58Z |
| publishDate | 2022-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-af8fca9e7490492e9153114b4925eeec2023-09-13T18:31:25ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112022-03-01105141210.31489/2022M1/4-12Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degenerationS.E. AitzhanovZh. Tileuberdi G. Sanat 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.https://mathematics-vestnik.ksu.kz/apart/2022-105-1/1.pdf |
| spellingShingle | S.E. Aitzhanov Zh. Tileuberdi G. Sanat Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration Қарағанды университетінің хабаршысы. Математика сериясы |
| title | Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration |
| title_full | Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration |
| title_fullStr | Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration |
| title_full_unstemmed | Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration |
| title_short | Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration |
| title_sort | solvability of an initial boundary value problem for a nonlinear pseudoparabolic equation with degeneration |
| url | https://mathematics-vestnik.ksu.kz/apart/2022-105-1/1.pdf |
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