On an abstract nonlinear second order integrodifferential equation
The aim of the present paper is to study the global existence of solutions of nonlinear second order integrodifferential equation in Banach space. Our analysis is based on an application of the Leray-Schauder alternative and rely on a priori bounds of solutions.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/654745 |
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| _version_ | 1850214732418514944 |
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| author | M. B. Dhakne G. B. Lamb |
| author_facet | M. B. Dhakne G. B. Lamb |
| author_sort | M. B. Dhakne |
| collection | DOAJ |
| description | The aim of the present paper is to study the global existence of solutions of nonlinear second order integrodifferential equation in Banach space. Our analysis is based on an application of the Leray-Schauder alternative and rely on a priori bounds of solutions. |
| format | Article |
| id | doaj-art-868e2c70d19e4cf5939436732b1da62f |
| institution | OA Journals |
| issn | 0972-6802 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-868e2c70d19e4cf5939436732b1da62f2025-08-20T02:08:49ZengWileyJournal of Function Spaces and Applications0972-68022007-01-015216717410.1155/2007/654745On an abstract nonlinear second order integrodifferential equationM. B. Dhakne0G. B. Lamb1Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad–431004 (M.S.), IndiaDepartment of Mathematics, Baliram Patil Arts, Commerce and Science College, Kinwat–431804 (M.S.), IndiaThe aim of the present paper is to study the global existence of solutions of nonlinear second order integrodifferential equation in Banach space. Our analysis is based on an application of the Leray-Schauder alternative and rely on a priori bounds of solutions.http://dx.doi.org/10.1155/2007/654745 |
| spellingShingle | M. B. Dhakne G. B. Lamb On an abstract nonlinear second order integrodifferential equation Journal of Function Spaces and Applications |
| title | On an abstract nonlinear second order integrodifferential equation |
| title_full | On an abstract nonlinear second order integrodifferential equation |
| title_fullStr | On an abstract nonlinear second order integrodifferential equation |
| title_full_unstemmed | On an abstract nonlinear second order integrodifferential equation |
| title_short | On an abstract nonlinear second order integrodifferential equation |
| title_sort | on an abstract nonlinear second order integrodifferential equation |
| url | http://dx.doi.org/10.1155/2007/654745 |
| work_keys_str_mv | AT mbdhakne onanabstractnonlinearsecondorderintegrodifferentialequation AT gblamb onanabstractnonlinearsecondorderintegrodifferentialequation |