In this paper we investigate the existence of mild solutions on an unbounded real interval to first order initial value problems for a class of differential inclusions in Banach spaces. We shall make use of a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's theorem.
@article{bwmeta1.element.bwnjournal-article-div19i1-2n8bwm,
author = {Mouffak Benchohra},
title = {Existence of mild solutions on infinite intervals to first order initial value problems for a class of differential inclusions in banach spaces},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {19},
year = {1999},
pages = {111-121},
zbl = {0960.34046},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-div19i1-2n8bwm}
}
Mouffak Benchohra. Existence of mild solutions on infinite intervals to first order initial value problems for a class of differential inclusions in banach spaces. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 19 (1999) pp. 111-121. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-div19i1-2n8bwm/
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