Global mild solution for functional evolution inclusions with state-dependent delay

Baghli-Bendimerad, S.


Abstract:

In this paper we provide sufficient conditions for the existence of global mild solutions for two classes of first order partial functional and neutral functional differential evolution inclusions with state-dependent delay. Our results are based upon a nonlinear alternative due to Frigon [17, 18] for contractions maps in Fr ́echet spaces. Two examples illustrating the abstract theory are presented.

Volume: 5 | Issue: 4

Pages: 1-19

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