| Autor: |
Cung The Anh, Le Van Hieu |
| Jazyk: |
angličtina |
| Rok vydání: |
2012 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2012, Iss 51,, Pp 1-14 (2012) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
Using the Contraction Mapping Principle, we study the existence, uniqueness, and uniform asymptotic stability of solutions to an abstract differential equation with infinite delay of the form $du(t)/dt+Au(t)=B(t,u_t)$, where A is a positive sectorial operator and the nonlinear part B is Lipschitz continuous with respect to a fractional power of A in the second variable and the Lipschitz coefficient may depend on time t. Some special cases and examples are provided to illustrate the results obtained. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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