Geodesic
Existence of solutions for integrodifferential inclusions in Banach spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 687-696

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In this paper we examine nonlinear integrodifferential inclusions defined in a se\-pa\-rable Banach space. Using a compactness type hypothesis involving the ball measure of noncompactness, we establish two existence results. One involving convex-valued orientor fields and the other nonconvex valued ones.
Classification : 34A60, 34G05, 34G20, 34K30, 45G10, 45J05, 45N05, 49J24
Keywords: sublinear measure of noncompactness; orientor; field; selector; upper semicontinuity; lower semicontinuity; graph measurability; weak measurability 
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     author = {Papageorgiou, Nikolaos S.},
     title = {Existence of solutions for integrodifferential inclusions in {Banach} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {687--696},
     publisher = {mathdoc},
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     number = {4},
     year = {1991},
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     zbl = {0824.45017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a10/}
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Papageorgiou, Nikolaos S. Existence of solutions for integrodifferential inclusions in Banach spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 32 (1991) no. 4, pp. 687-696. http://geodesic.mathdoc.fr/item/CMUC_1991__32_4_a10/