In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1088,
author = {Abada Nadjat and Benchohra Mouffak and Hammouche Hadda and Ouahab Abdelghani},
title = {Controllability of impulsive semilinear functional differential inclusions with finite delay in Fr\'echet spaces},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {27},
year = {2007},
pages = {329-347},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1088}
}
Abada Nadjat; Benchohra Mouffak; Hammouche Hadda; Ouahab Abdelghani. Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 27 (2007) pp. 329-347. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1088/
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