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Almost automorphic and pseudo-almost automorphic mild solutions to an abstract differential equation in Banach spaces

✍ Scribed by Zhi-Han Zhao; Yong-Kui Chang; Juan J. Nieto

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 515 KB
Volume: 72
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2009.09.028

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✦ Synopsis

In this paper we prove some existence results for almost automorphic and pseudo-almost automorphic mild solutions to a class of abstract differential equations in Banach spaces. The main technique is based on some composition theorems combined with the contraction mapping theorem. Finally, we present an application to a semilinear partial differential equation with Dirichlet conditions.

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