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Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations

Keywords: Neutral equation , semigroup , mild solution , Stepanov-weighted pseudo almost periodic functions , Banach fixed point theorem

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Abstract:

In this article we study the existence of weighted pseudo almost periodic solutions of an autonomous neutral functional differential equation with Stepanov-Weighted pseudo almost periodic terms in a Banach space. We use the contraction mapping principle to show the existence and the uniqueness of weighted pseudo almost periodic solution of the equation.

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