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Zbl 1012.34059
Benchohra, M.; Ntouyas, S.K.
Nonlocal Cauchy problems on semi-infinite intervals for neutral functional-differential and integrodifferential inclusions in Banach spaces. (English)
[J] Math. Slovaca 51, No.5, 529-545 (2001). ISSN 0139-9918; ISSN 1337-2211/e

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 2000:: *34G25 Evolution inclusions
34K40 Neutral equations
34K30 Functional-differential equations in abstract spaces

Keywords: neutral functional-differential and integrodifferential inclusions; mild solution; evolution; nonlocal conditions; fixed-point

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