Geodesic
Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 1, pp. 115-125

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In this paper we prove two existence theorems for abstract boundary value problems controlled by semilinear evolution inclusions in which the nonlinear part is a lower Scorza-Dragoni multifunction. Then, by using these results, we obtain the existence of periodic mild solutions.
Classification : 34A60, 34G20
Keywords: semilinear differential inclusion; selection theorem; mild solution; lower Scorza Dragoni multifunction; mild periodic solution. 
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     author = {Cardinali, Tiziana and Santori, Lucia},
     title = {Boundary value problems for semilinear evolution inclusions: {Carath\'eodory} selections approach},
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     zbl = {1240.34288},
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Cardinali, Tiziana; Santori, Lucia. Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach. Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 1, pp. 115-125. http://geodesic.mathdoc.fr/item/CMUC_2011__52_1_a7/