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...

Full description

Saved in:
Bibliographic Details
Published in:Nonlinear analysis Vol. 72; no. 3; pp. 1886 - 1894
Main Authors: Zhao, Zhi-Han, Chang, Yong-Kui, Nieto, Juan J.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 01.02.2010
Elsevier
Subjects:
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
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
Bibliography: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