Almost automorphic solutions of some differential equations in Banach spaces
| Autor: | Gaston Mandata N'Guerekata |
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| Jazyk: | angličtina |
| Rok vydání: | 2000 |
| Předmět: | |
| Zdroj: | International Journal of Mathematics and Mathematical Sciences, Vol 23, Iss 5, Pp 361-365 (2000) |
| Druh dokumentu: | article |
| ISSN: | 0161-1712 1687-0425 01611712 |
| DOI: | 10.1155/S0161171200001988 |
| Popis: | We discuss the conditions under which bounded solutions of the evolution equation x′(t)=Ax(t)+f(t) in a Banach space are almost automorphic whenever f(t) is almost automorphic and A generates a C0-group of strongly continuous operators. We also give a result for asymptotically almost automorphic solutions for the more general case of x′(t)=Ax(t)+f(t,x(t)). |
| Databáze: | Directory of Open Access Journals |
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