Local mild solutions and impulsive mild solutions for semilinear Cauchy problems involving lower Scorza-Dragoni multifunctions

Tiziana Cardinali, Francesco Portigiani, Paola Rubbioni

DOI: http://dx.doi.org/10.12775/TMNA.2008.048


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.


Semilinear differential inclusion; local; global and impulsive mild solution; Scorza-Dragoni multifunction; Carathéodory selection theorem

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