In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1028,
author = {Mouffak Benchohra and Lech G\'orniewicz and Sotiris K. Ntouyas},
title = {Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
volume = {21},
year = {2001},
pages = {261-282},
zbl = {1020.93004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1028}
}
Mouffak Benchohra; Lech Górniewicz; Sotiris K. Ntouyas. Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces. Discussiones Mathematicae, Differential Inclusions, Control and Optimization, Tome 21 (2001) pp. 261-282. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmdico_1028/
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