Multivalued evolution equations with infinite delay in Fréchet spaces

S. Baghli, Université de Sidi Bel Abbés, Sidi Bel Abbés, Algérie
M. Benchohra, Université de Sidi Bel Abbés, Sidi Bel Abbés, Algérie

E. J. Qualitative Theory of Diff. Equ., No. 33. (2008), pp. 1-24.

Communicated by T. A. Burton.Received on 2008-07-05
Appeared on 2008-11-01

Abstract: In this paper, sufficient conditions are given to investigate the existence of mild solutions on a semi-infinite interval for two classes of first order semilinear functional and neutral functional differential evolution inclusions with infinite delay using a recent nonlinear alternative for contractive multivalued maps in Fr\'echet spaces due to Frigon, combined with semigroup theory.


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