Local mild solutions and impulsive mild solutions for semilinear Cauchy problems involving lower Scorza-Dragoni multifunctions
Keywords
Semilinear differential inclusion, local, global and impulsive mild solution, Scorza-Dragoni multifunction, Carathéodory selection theoremAbstract
In this note we investigate in Banach spaces the existence of mild solutions for initial problems, also in presence of impulses, governed by semilinear differential inclusions where the non-linear part is a Scorza-Dragoni multifunction. All the results are obtained via a generalization of {\it Artstein-Prikry selection theorem} that we obtain in the first part of the paper.Downloads
Published
2008-12-01
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1.
CARDINALI, Tiziana, PORTIGIANI, Francesco and RUBBIONI, Paola. Local mild solutions and impulsive mild solutions for semilinear Cauchy problems involving lower Scorza-Dragoni multifunctions. Topological Methods in Nonlinear Analysis. Online. 1 December 2008. Vol. 32, no. 2, pp. 247 - 259. [Accessed 4 November 2024].
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