Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces
We prove two results concerning the existence of solutions for functional differential inclusions that are governed by sweeping processes, with noncompact valued perturbations in Banach spaces. Indeed, we have two goals. The first is to give a technique that allows considering sweeping processes wit...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2016/3853205 |
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| author | A. G. Ibrahim F. Aladsani |
| author_facet | A. G. Ibrahim F. Aladsani |
| author_sort | A. G. Ibrahim |
| collection | DOAJ |
| description | We prove two results concerning the existence of solutions for functional differential inclusions that are governed by sweeping processes, with noncompact valued perturbations in Banach spaces. Indeed, we have two goals. The first is to give a technique that allows considering sweeping processes with noncompact valued perturbations and associated with a multivalued function depending on time. The second is to give a technique to overcome the arising problem from the nonlinearity of the normalized mappings, when we deal with sweeping processes with noncompact valued perturbations and associated with a multivalued function depending on time and state. |
| format | Article |
| id | doaj-art-8419990cb6894d0aa94a9a22707addbb |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-8419990cb6894d0aa94a9a22707addbb2025-02-03T01:23:00ZengWileyAbstract and Applied Analysis1085-33751687-04092016-01-01201610.1155/2016/38532053853205Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach SpacesA. G. Ibrahim0F. Aladsani1Department 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 prove two results concerning the existence of solutions for functional differential inclusions that are governed by sweeping processes, with noncompact valued perturbations in Banach spaces. Indeed, we have two goals. The first is to give a technique that allows considering sweeping processes with noncompact valued perturbations and associated with a multivalued function depending on time. The second is to give a technique to overcome the arising problem from the nonlinearity of the normalized mappings, when we deal with sweeping processes with noncompact valued perturbations and associated with a multivalued function depending on time and state.http://dx.doi.org/10.1155/2016/3853205 |
| spellingShingle | A. G. Ibrahim F. Aladsani Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces Abstract and Applied Analysis |
| title | Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces |
| title_full | Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces |
| title_fullStr | Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces |
| title_full_unstemmed | Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces |
| title_short | Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces |
| title_sort | convex sweeping processes with noncompact perturbations and with delay in banach spaces |
| url | http://dx.doi.org/10.1155/2016/3853205 |
| work_keys_str_mv | AT agibrahim convexsweepingprocesseswithnoncompactperturbationsandwithdelayinbanachspaces AT faladsani convexsweepingprocesseswithnoncompactperturbationsandwithdelayinbanachspaces |