EVOLUTION EQUATIONS IN WEIGHTED STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SPACES

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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