We consider a class of differential inclusions in (nonseparable) Banach spaces satisfying mixed type semicontinuity hypotheses and prove the existence of solutions for a problem with state constraints. The cases of dissipative type conditions and with time lag are also studied. These results are then applied to control systems.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-3-4,
author = {Tzanko Donchev},
title = {Mixed type semicontinuous differential inclusions in Banach spaces},
journal = {Annales Polonici Mathematici},
volume = {77},
year = {2001},
pages = {245-259},
zbl = {0992.34042},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-3-4}
}
Tzanko Donchev. Mixed type semicontinuous differential inclusions in Banach spaces. Annales Polonici Mathematici, Tome 77 (2001) pp. 245-259. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-3-4/