Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator
We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables. The mixed problem is reduced to the Volterra integral equation of the second kind, and the inverse probl...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2012-09-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20819/17078 |
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| author | Tursun K Yuldashev |
| author_facet | Tursun K Yuldashev |
| author_sort | Tursun K Yuldashev |
| collection | DOAJ |
| description | We consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables. The mixed problem is reduced to the Volterra integral equation of the second kind, and the inverse problem — to the system of Volterra integral equations. The unique solvability of the inverse problem and the stability of its solution are proved. |
| first_indexed | 2024-04-13T15:57:59Z |
| format | Article |
| id | doaj.art-f9ae351076264a8fb097359c99c8876e |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-04-13T15:57:59Z |
| publishDate | 2012-09-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-f9ae351076264a8fb097359c99c8876e2022-12-22T02:40:37ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812012-09-01163172918236Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operatorTursun K Yuldashev0M. F. Reshetnev Siberian State Aerospace UniversityWe consider the questions of generalized solvability of inverse problem for nonlinear partial differential equations with high order pseudoparabolic operator by method of separation of variables. The mixed problem is reduced to the Volterra integral equation of the second kind, and the inverse problem — to the system of Volterra integral equations. The unique solvability of the inverse problem and the stability of its solution are proved.https://journals.eco-vector.com/1991-8615/article/viewFile/20819/17078nonlinear inverse problemhigh order pseudoparabolic operatorgeneralized solvability |
| spellingShingle | Tursun K Yuldashev Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki nonlinear inverse problem high order pseudoparabolic operator generalized solvability |
| title | Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator |
| title_full | Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator |
| title_fullStr | Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator |
| title_full_unstemmed | Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator |
| title_short | Inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator |
| title_sort | inverse problem for nonlinear partial differential equation with high order pseudoparabolic operator |
| topic | nonlinear inverse problem high order pseudoparabolic operator generalized solvability |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20819/17078 |
| work_keys_str_mv | AT tursunkyuldashev inverseproblemfornonlinearpartialdifferentialequationwithhighorderpseudoparabolicoperator |