Existence for nonlinear evolution inclusions with nonlocal retarded initial conditions |
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Authors: | Ioan I. Vrabie |
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Affiliation: | Faculty of Mathematics, “Al. I. Cuza” University, Ia?i 700506, Romania;“O. Mayer” Mathematics Institute, Romanian Academy, Ia?i 700505, Romania |
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Abstract: | In this paper, we prove a sufficient condition for the global existence of bounded C0-solutions for a class of nonlinear functional differential evolution equation of the form where X is a real Banach space, A is the infinitesimal generator of a nonlinear compact semigroup, is a nonempty, convex, weakly compact valued, and almost strongly–weakly u.s.c. multi-function, and is nonexpansive. |
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Keywords: | MSC: 34K05 34K30 34G25 34K13 35K55 47H06 |
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