Existence of solutions for second order semilinear functional integrodifferential inclusions in Banach spaces

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Ntouyas S. K.

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peer reviewed

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Analele Stiintfice ale Universitatii "Al. I. Cuza" Iasi

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In this paper we investigate the existence of mild solutions on an unbounded real interval to second order initial value problems for a class of semilinear functional integrodi�erential inclusions in Banach spaces. We shall make use of a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's theorem.

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Initial value problems, convex valued multivalued map, mild solution, functional integrodi�erential inclusion, existence, ?xed point, abstract space.

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http://www.math.uaic.ro/~annalsmath/pdf-uri%20anale/f1-2001/benchohra.pdf

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en

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Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών

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