EVOLUTION EQUATIONS IN WEIGHTED STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SPACES

EVOLUTION EQUATIONS IN WEIGHTED STEPANOV-LIKE PSEUDO ALMOST AUTOMORPHIC SPACES

Charaf Bensouda    Mohamed Zitane    

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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, fixed point theorem, weighted pseudo almost automorphy, nonautonomous neutral evolution equations.