EVOLUTION EQUATIONS IN WEIGHTED STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SPACES

Year 2013, Volume: 3 Issue: 2, 119 - 132, 01.12.2013

Charaf Bensouda Mohamed Zitane

Abstract

In this paper, we obtain new existence and uniqueness theorem of weighted pseudo almost automorphic solutions for non-autonomous neutral partial evolution equations by applying the theory of semigroups of operators to evolution families. An interesting example is presented to illustrate our abstract result.

Keywords

Evolution family, Şxed point theorem, weighted pseudo almost automorphy, nonautonomous neutral evolution equations

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