LMPA Laboratory, Department of Mathematics, Jijel University, PB98, Cite Ouled Aissa, Jijel, Algeria
Abstract
This paper deals with nonconvex set-valued perturbation to second order nonlinear evolution system governed by the so-called nonconvex sweeping process for a class of subsmooth moving sets depending on state and velocity. Making use of our recent paper obtained for a convex valued perturbation, we prove a new existence result when the perturbations are \textit{almost convex}. Furthermore, we apply our result in the study of an optimal control problem known as a \textit{minimum time problem}.
Affane,D. and Yarou,M. F. (2023). Almost convex valued perturbation to second order sweeping process. Mathematical Analysis and its Contemporary Applications, 5(2), 61-72. doi: 10.30495/maca.2023.1990922.1073
MLA
Affane,D. , and Yarou,M. F. . "Almost convex valued perturbation to second order sweeping process", Mathematical Analysis and its Contemporary Applications, 5, 2, 2023, 61-72. doi: 10.30495/maca.2023.1990922.1073
HARVARD
Affane D., Yarou M. F. (2023). 'Almost convex valued perturbation to second order sweeping process', Mathematical Analysis and its Contemporary Applications, 5(2), pp. 61-72. doi: 10.30495/maca.2023.1990922.1073
CHICAGO
D. Affane and M. F. Yarou, "Almost convex valued perturbation to second order sweeping process," Mathematical Analysis and its Contemporary Applications, 5 2 (2023): 61-72, doi: 10.30495/maca.2023.1990922.1073
VANCOUVER
Affane D., Yarou M. F. Almost convex valued perturbation to second order sweeping process. MACA, 2023; 5(2): 61-72. doi: 10.30495/maca.2023.1990922.1073
