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On semilinear nonlocal Cauchy problems. (English) Zbl 1072.34062

The authors study nonlocal Cauchy problem for differential inclusions in Banach spaces. An existence result is established. Moreover, it is proved that the respective set of solutions is compact. The main tool to obtain the above results is the measure of noncompactness method. It seems that under the assumptions of Theorem 1 (p. 365) it is possible to prove that the respective set of solutions is an \(R_\delta\)–set.

MSC:

34G25 Evolution inclusions
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