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

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 presen...

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Vydané v:	Nonlinear analysis Ročník 72; číslo 3; s. 1886 - 1894
Hlavní autori:	Zhao, Zhi-Han, Chang, Yong-Kui, Nieto, Juan J.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Amsterdam Elsevier Ltd 01.02.2010 Elsevier
Predmet:	Almost automorphic Exact sciences and technology Functional analysis Mathematical analysis Mathematics Neutral differential equations Numerical analysis Numerical analysis in abstract spaces Numerical analysis. Scientific computation Ordinary differential equations Partial differential equations, initial value problems and time-dependant initial-boundary value problems Pseudo-almost automorphic Sciences and techniques of general use Almost automorphic 35R12 Neutral differential equations 45N05 34A60 Pseudo-almost automorphic Semi linear equation Differential equation Nonlinear analysis Banach space Partial differential equation Neutral equation Mathematical model
ISSN:	0362-546X, 1873-5215
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Shrnutí:	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.
Bibliografia:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2009.09.028