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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Vydáno v:	Nonlinear analysis Ročník 70; číslo 7; s. 2731 - 2735
Hlavní autoři:	Liang, Jin, N’Guérékata, Gaston M., Xiao, Ti-Jun, Zhang, Jun
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Amsterdam Elsevier Ltd 01.04.2009 Elsevier
Témata:	[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
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Shrnutí:	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