| Autor: |
Han-Geul Kim, Jin-Mun Jeong |
| Rok vydání: |
2009 |
| Předmět: |
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| Zdroj: |
Bulletin of the Korean Mathematical Society. 46:463-475 |
| ISSN: |
1015-8634 |
| DOI: |
10.4134/bkms.2009.46.3.463 |
| Popis: |
This paper deals with the regularity properties for a class of semilinear integrodierentia l functional dierential equations. It is shown the relation between the reachable set of the semilinear system and that of its corresponding linear system. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example to which our main result can be applied is given. Let H and V be two complex Hilbert spaces such that V is a dense subspace of H. Identifying the antidual of H with H we may consider V ‰ H ‰ V ⁄ . In this paper we deal with the approximate controllability for the semilinear equation in H as follows. (SE) ( d dt x(t) = Ax(t) + R t 0 k(t i s)g(s,x(s),u(s))ds + Bu(t) |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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