We consider differential inclusions with state constraints in a Banach space and study the properties of their solution sets. We prove a relaxation theorem and we apply it to prove the well-posedness of an optimal control problem.
@article{bwmeta1.element.bwnjournal-article-zmv23i1p13bwm, author = {Song Wen}, title = {The solution set of a differential inclusionon a closed set of a Banach space}, journal = {Applicationes Mathematicae}, volume = {23}, year = {1995}, pages = {13-23}, zbl = {0831.34017}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-zmv23i1p13bwm} }
Wen, Song. The solution set of a differential inclusionon a closed set of a Banach space. Applicationes Mathematicae, Tome 23 (1995) pp. 13-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-zmv23i1p13bwm/
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