Topological structure of solution sets of differential inclusions: the constrained case
We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables const...
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| Format: | Article |
| Language: | English |
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Wiley
2003-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337503204115 |
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| _version_ | 1832556941277134848 |
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| author | Wojciech Kryszewski |
| author_facet | Wojciech Kryszewski |
| author_sort | Wojciech Kryszewski |
| collection | DOAJ |
| description | We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so-called regular and strictly regular sets, together with their applications, are presented and discussed. |
| format | Article |
| id | doaj-art-20fa0e53e7a8461e9b7d4d844ebf40fc |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-20fa0e53e7a8461e9b7d4d844ebf40fc2025-02-03T05:43:58ZengWileyAbstract and Applied Analysis1085-33751687-04092003-01-012003632535110.1155/S1085337503204115Topological structure of solution sets of differential inclusions: the constrained caseWojciech Kryszewski0Faculty of Mathematics and Computer Science, Nicholas Copernicus University, ul. Chopina 12/18, Torun 87-100, PolandWe survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so-called regular and strictly regular sets, together with their applications, are presented and discussed.http://dx.doi.org/10.1155/S1085337503204115 |
| spellingShingle | Wojciech Kryszewski Topological structure of solution sets of differential inclusions: the constrained case Abstract and Applied Analysis |
| title | Topological structure of solution sets of differential inclusions: the constrained case |
| title_full | Topological structure of solution sets of differential inclusions: the constrained case |
| title_fullStr | Topological structure of solution sets of differential inclusions: the constrained case |
| title_full_unstemmed | Topological structure of solution sets of differential inclusions: the constrained case |
| title_short | Topological structure of solution sets of differential inclusions: the constrained case |
| title_sort | topological structure of solution sets of differential inclusions the constrained case |
| url | http://dx.doi.org/10.1155/S1085337503204115 |
| work_keys_str_mv | AT wojciechkryszewski topologicalstructureofsolutionsetsofdifferentialinclusionstheconstrainedcase |