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Almost periodic solutions of neutral functional differential equations. (English) Zbl 1142.34367
Summary: We study a non-autonomous neutral functional differential equation in a Banach space. Applying the theory of semigroups of operators to evolution equations and Krasnoselskii’s fixed point theorem we establish the existence and uniqueness of a mild almost periodic solution of the problem under consideration.
MSC:
34K14Almost and pseudo-periodic solutions of functional differential equations
34K40Neutral functional-differential equations
References:
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