Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces
We have proven an existence theorem concerning the existence of solutions for a functional evolution inclusion governed by sweeping process with closed convex sets depending on time and state and with a noncompact nonconvex perturbation in Banach spaces. This work extends some recent existence theor...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2013/567094 |
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| _version_ | 1832564663994286080 |
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| author | F. Aladsani A. G. Ibrahim |
| author_facet | F. Aladsani A. G. Ibrahim |
| author_sort | F. Aladsani |
| collection | DOAJ |
| description | We have proven an existence theorem concerning the existence of solutions for a functional evolution inclusion governed by sweeping process with closed convex sets depending on time and state and with a noncompact nonconvex perturbation in Banach spaces. This work extends some recent existence theorems concerning sweeping processes from Hilbert spaces setting to Banach spaces setting. Moreover, it improves some recent existence results for sweeping processes in Banach spaces. |
| format | Article |
| id | doaj-art-17ef5e2289a0400ea9bb7de6b5da37be |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-17ef5e2289a0400ea9bb7de6b5da37be2025-02-03T01:10:24ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/567094567094Noncompact Perturbation of Sweeping Process with Delay in Banach SpacesF. Aladsani0A. G. Ibrahim1Department of Mathematics, Faculty of Science, King Faisal University, AL-Ahsa 31982, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Faisal University, AL-Ahsa 31982, Saudi ArabiaWe have proven an existence theorem concerning the existence of solutions for a functional evolution inclusion governed by sweeping process with closed convex sets depending on time and state and with a noncompact nonconvex perturbation in Banach spaces. This work extends some recent existence theorems concerning sweeping processes from Hilbert spaces setting to Banach spaces setting. Moreover, it improves some recent existence results for sweeping processes in Banach spaces.http://dx.doi.org/10.1155/2013/567094 |
| spellingShingle | F. Aladsani A. G. Ibrahim Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces International Journal of Mathematics and Mathematical Sciences |
| title | Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces |
| title_full | Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces |
| title_fullStr | Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces |
| title_full_unstemmed | Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces |
| title_short | Noncompact Perturbation of Sweeping Process with Delay in Banach Spaces |
| title_sort | noncompact perturbation of sweeping process with delay in banach spaces |
| url | http://dx.doi.org/10.1155/2013/567094 |
| work_keys_str_mv | AT faladsani noncompactperturbationofsweepingprocesswithdelayinbanachspaces AT agibrahim noncompactperturbationofsweepingprocesswithdelayinbanachspaces |