Geodesic
Boundary value problems for semilinear evolution inclusions: Carathéodory selections approach
Commentationes Mathematicae Universitatis Carolinae, Tome 52 (2011) no. 1, pp. 115-125 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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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     title = {Boundary value problems for semilinear evolution inclusions: {Carath\'eodory} selections approach},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
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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/