The paper deals with the existence of viable solutions to the differential inclusion ẍ(t) ∈ f(t,x(t)) + ext F(t,x(t)), where f is a single-valued map and ext F(t,x) stands for the extreme points of a continuous, convex and noncompact set-valued mapping F with nonempty interior.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-1-2,
author = {Myelkebir Aitalioubrahim and Said Sajid},
title = {Second-Order Viability Problem: A Baire Category Approach},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {57},
year = {2009},
pages = {9-23},
zbl = {1179.34066},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-1-2}
}
Myelkebir Aitalioubrahim; Said Sajid. Second-Order Viability Problem: A Baire Category Approach. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) pp. 9-23. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-1-2/