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Pseudo-almost-automorphic solutions to some neutral partial functional differential equations in Banach spaces
- Source :
-
Nonlinear Analysis . Feb2009, Vol. 70 Issue 4, p1641-1647. 7p. - Publication Year :
- 2009
-
Abstract
- Abstract: This work aims to investigate the existence and uniqueness of pseudo-almost-automorphic solutions for some neutral partial functional differential equations in Banach spaces. Recall that the new concept of pseudo-almost-automorphy generalizes the one of the pseudo-almost-periodicity and it has been recently introduced in the literature. Here we assume that the undelayed part is not necessarily densely defined and satisfies the well-known Hille–Yosida condition, the delayed parts are assumed to be pseudo-almost-automorphic with respect to the first argument and Lipschitz continuous with respect to the second argument. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 0362546X
- Volume :
- 70
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Nonlinear Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 35558162
- Full Text :
- https://doi.org/10.1016/j.na.2008.02.039