Solvability of a semi-periodic boundary value problem for a third order differential equation with mixed derivative
This article is devoted to the study of the solvability of a semi - periodic boundary value problem for an evolution equation of the pseudoparabolic type. Nonlocal problems for high order partial differential equations have been investigated by many authors [1-4]. A certain interest in the study of...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2020-06-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/363 |
| _version_ | 1797372679183925248 |
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| author | A.B. Keldibekova |
| author_facet | A.B. Keldibekova |
| author_sort | A.B. Keldibekova |
| collection | DOAJ |
| description |
This article is devoted to the study of the solvability of a semi - periodic boundary value problem for an evolution equation of the pseudoparabolic type. Nonlocal problems for high order partial differential equations have been investigated by many authors [1-4]. A certain interest in the study of these problems is caused in connection with their applied values. These problems include highly porous media with a complex topology, and first of all, soil and ground. Such equations can also describe long waves in dispersed systems. To solve this problem, new functions are introduced in the work and the method of a parameterizations applied [5]. Then the boundary value problem for a third order differential equation is reduced to a periodic boundary value problem for a family of systems of ordinary differential equations [6-18]. New constructive algorithms for finding an approximate solution are proposed and in terms of the initial data, coefficient - like signs of the unique solvability of the problem under study are obtained.
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| first_indexed | 2024-03-08T18:39:17Z |
| format | Article |
| id | doaj.art-c12952ba7e644c67b7fe855012f34d36 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:39:17Z |
| publishDate | 2020-06-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-c12952ba7e644c67b7fe855012f34d362023-12-29T10:20:18ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112020-06-01982Solvability of a semi-periodic boundary value problem for a third order differential equation with mixed derivativeA.B. Keldibekova This article is devoted to the study of the solvability of a semi - periodic boundary value problem for an evolution equation of the pseudoparabolic type. Nonlocal problems for high order partial differential equations have been investigated by many authors [1-4]. A certain interest in the study of these problems is caused in connection with their applied values. These problems include highly porous media with a complex topology, and first of all, soil and ground. Such equations can also describe long waves in dispersed systems. To solve this problem, new functions are introduced in the work and the method of a parameterizations applied [5]. Then the boundary value problem for a third order differential equation is reduced to a periodic boundary value problem for a family of systems of ordinary differential equations [6-18]. New constructive algorithms for finding an approximate solution are proposed and in terms of the initial data, coefficient - like signs of the unique solvability of the problem under study are obtained. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/363partial differential equationthird-order pseudoparabolic equationalgorithmapproximate solution |
| spellingShingle | A.B. Keldibekova Solvability of a semi-periodic boundary value problem for a third order differential equation with mixed derivative Қарағанды университетінің хабаршысы. Математика сериясы partial differential equation third-order pseudoparabolic equation algorithm approximate solution |
| title | Solvability of a semi-periodic boundary value problem for a third order differential equation with mixed derivative |
| title_full | Solvability of a semi-periodic boundary value problem for a third order differential equation with mixed derivative |
| title_fullStr | Solvability of a semi-periodic boundary value problem for a third order differential equation with mixed derivative |
| title_full_unstemmed | Solvability of a semi-periodic boundary value problem for a third order differential equation with mixed derivative |
| title_short | Solvability of a semi-periodic boundary value problem for a third order differential equation with mixed derivative |
| title_sort | solvability of a semi periodic boundary value problem for a third order differential equation with mixed derivative |
| topic | partial differential equation third-order pseudoparabolic equation algorithm approximate solution |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/363 |
| work_keys_str_mv | AT abkeldibekova solvabilityofasemiperiodicboundaryvalueproblemforathirdorderdifferentialequationwithmixedderivative |