Geodesic
Existence of solutions for hyperbolic differential inclusions in Banach spaces
Archivum mathematicum, Tome 28 (1992) no. 3-4, pp. 205-213.

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In this paper we examine nonlinear hyperbolic inclusions in Banach spaces. With the aid of a compactness condition involving the ball measure of noncompactness we prove two existence theorems. The first for problems with convex valued orientor fields and the second for problems with nonconvex valued ones.
Classification : 34A60, 34G20, 35L15, 35R20, 35R70, 47N20
Keywords: hyperbolic inclusion; measure of noncompactness; measurable multifunction; upper and lower semicontinuous multifunctions; fixed point 
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     author = {Papageorgiou, Nikolaos S.},
     title = {Existence of solutions for hyperbolic differential inclusions in {Banach} spaces},
     journal = {Archivum mathematicum},
     pages = {205--213},
     publisher = {mathdoc},
     volume = {28},
     number = {3-4},
     year = {1992},
     mrnumber = {1222288},
     zbl = {0781.34045},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1992__28_3-4_a8/}
}
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Papageorgiou, Nikolaos S. Existence of solutions for hyperbolic differential inclusions in Banach spaces. Archivum mathematicum, Tome 28 (1992) no. 3-4, pp. 205-213. http://geodesic.mathdoc.fr/item/ARM_1992__28_3-4_a8/