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On a class of functional differential equations in Banach spaces. (English) Zbl 1211.34095

Summary: The aim of this paper is to establish the existence of solutions and some properties of set solutions for a Cauchy problem with causal operator in a separable Banach space.

MSC:

34K30 Functional-differential equations in abstract spaces
34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
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