Local mild solutions and impulsive mild solutions for semilinear Cauchy problems involving lower Scorza-Dragoni multifunctions
Słowa kluczowe
Semilinear differential inclusion, local, global and impulsive mild solution, Scorza-Dragoni multifunction, Carathéodory selection theoremAbstrakt
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.Pobrania
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2008-12-01
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1.
CARDINALI, Tiziana, PORTIGIANI, Francesco & 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 grudzień 2008, T. 32, nr 2, s. 247–259. [udostępniono 22.7.2024].
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