Lower semicontinuous differential inclusions. One-sided Lipschitz approach
Colloquium Mathematicum, Tome 74 (1997) no. 2, pp. 177-184
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Some properties of differential inclusions with lower semicontinuous right-hand side are considered. Our essential assumption is the one-sided Lipschitz condition introduced in [4]. Using the main idea of [10], we extend the well known relaxation theorem, stating that the solution set of the original problem is dense in the solution set of the relaxed one, under assumptions essentially weaker than those in the literature. Applications in optimal control are given.
@article{10_4064_cm_74_2_177_184,
author = {Tzanko Donchev},
title = {Lower semicontinuous differential inclusions. {One-sided} {Lipschitz} approach},
journal = {Colloquium Mathematicum},
pages = {177--184},
publisher = {mathdoc},
volume = {74},
number = {2},
year = {1997},
doi = {10.4064/cm-74-2-177-184},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-74-2-177-184/}
}
TY - JOUR AU - Tzanko Donchev TI - Lower semicontinuous differential inclusions. One-sided Lipschitz approach JO - Colloquium Mathematicum PY - 1997 SP - 177 EP - 184 VL - 74 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/cm-74-2-177-184/ DO - 10.4064/cm-74-2-177-184 LA - en ID - 10_4064_cm_74_2_177_184 ER -
%0 Journal Article %A Tzanko Donchev %T Lower semicontinuous differential inclusions. One-sided Lipschitz approach %J Colloquium Mathematicum %D 1997 %P 177-184 %V 74 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/cm-74-2-177-184/ %R 10.4064/cm-74-2-177-184 %G en %F 10_4064_cm_74_2_177_184
Tzanko Donchev. Lower semicontinuous differential inclusions. One-sided Lipschitz approach. Colloquium Mathematicum, Tome 74 (1997) no. 2, pp. 177-184. doi: 10.4064/cm-74-2-177-184
Cité par Sources :