Weighted pseudo almost automorphic functions and applications to abstract differential equations

This paper is concerned with weighted pseudo almost automorphic functions, which are more general and complicated than weighted pseudo almost periodic functions. Using these properties, we establish an existence and uniqueness theorem for pseudo almost automorphic mild solutions to semilinear differ...

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Bibliographic Details
Published inNonlinear analysis Vol. 71; no. 3; pp. 903 - 909
Main Authors Blot, J., Mophou, G.M., N’Guérékata, G.M., Pennequin, D.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier Ltd 01.08.2009
Elsevier
Subjects
[formula omitted]-semigroup of bounded operators
Abstract differential equation
Almost automorphic
Composition
Exact sciences and technology
Mathematical analysis
Mathematics
Mild solution
Ordinary differential equations
Pseudo almost automorphic
Sciences and techniques of general use
Several complex variables and analytic spaces
Weighted pseudo almost automorphic
Almost automorphic
Weighted pseudo almost automorphic
C 0 -semigroup of bounded operators
Composition
Abstract differential equation
Pseudo almost automorphic
42A85
42A75
44A35
Mild solution
Operator semigroup
C
Differential equation
Nonlinear analysis
Bounded operator
Weight function
semigroup of bounded operators
Mathematical model
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Summary:This paper is concerned with weighted pseudo almost automorphic functions, which are more general and complicated than weighted pseudo almost periodic functions. Using these properties, we establish an existence and uniqueness theorem for pseudo almost automorphic mild solutions to semilinear differential equations in a Banach space which extends known results.
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.2008.10.113