We investigate in the present paper, the existence and uniqueness of solutions for functional differential inclusions involving a subdifferential operator in the infinite dimensional setting. The perturbation which contains the delay is single-valued, separately measurable, and separately Lipschitz. We prove, without any compactness condition, that the problem has one and only one solution.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1159,
author = {Soumia Sa\"\i di and Mustapha Fateh Yarou},
title = {Delay perturbed evolution problems involving time dependent subdifferential operators},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {34},
year = {2014},
pages = {61-87},
zbl = {1327.34121},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1159}
}
Soumia Saïdi; Mustapha Fateh Yarou. Delay perturbed evolution problems involving time dependent subdifferential operators. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 34 (2014) pp. 61-87. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1159/
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