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Weighted pseudo-almost periodic solutions for some neutral partial functional differential equations. (English) Zbl 1244.34092
Summary: 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.

MSC:
34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
34K40 Neutral functional-differential equations
34K30 Functional-differential equations in abstract spaces
35R10 Partial functional-differential equations
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