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Nonlocal Cauchy problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in Banach spaces. (English) Zbl 1012.34059
Summary: Here, the authors investigate the existence of mild solutions on infinite intervals to initial value problems for neutral functional-differential and integrodifferential inclusions in Banach spaces with nonlocal conditions. A fixed-point theorem due to Ma, which is an extension of Schaefer’s theorem on locally convex topological spaces, is used.
MSC:
34G25Evolution inclusions
34K40Neutral functional-differential equations
34K30Functional-differential equations in abstract spaces