Some properties of pseudo-almost automorphic functions and applications to abstract differential equations

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

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Bibliographic Details
Published in:Nonlinear analysis Vol. 70; no. 7; pp. 2731 - 2735
Main Authors: Liang, Jin, N’Guérékata, Gaston M., Xiao, Ti-Jun, Zhang, Jun
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 01.04.2009
Elsevier
Subjects:
[formula omitted]-semigroup of contractions
Abstract equation
Almost automorphic
Composition
Exact sciences and technology
Group theory
Group theory and generalizations
Mathematical analysis
Mathematics
Mild solution
Ordinary differential equations
Pseudo-almost automorphic
Sciences and techniques of general use
Several complex variables and analytic spaces
Almost automorphic
C 0 -semigroup of contractions
Composition
42A85
42A75
44A35
Pseudo-almost automorphic
Abstract equation
Mild solution
Differential equation
Nonlinear analysis
c0-semigroup of contractions
Semigroup
Mathematical model
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Summary:This paper is concerned with some properties of pseudo-almost automorphic functions, which are more general and complicated than 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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2008.03.061