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/