Affiliation:
1. LMPA Laboratory, Department of Mathematics, University of Jijel , Jijel , ALGERIA
Abstract
ABSTRACT
In this paper, we consider a first-order iterative differential inclusion. We study the existence of solutions and some topological proprieties of the attainable set, where the right hand side is an upper semi-continuous multifunction with convex values. Then, we treat the autonomous problem under assumptions that do not require the convexity of the values and that weaken the assumption on the upper semi-continuity.
Reference45 articles.
1. Acary, V.—Bonnefon, O.—Brogliato, B.: Nonsmooth Modeling and Simulation for Switched Circuits, Springer Science and Business Media, 2010.
2. Affane, D.—Aissous, M.—Yarou, M. F.: Almost mixed semi-continuous perturbation of Moreaus sweeping process, Evol. Equ. Control Theory 1 (2020), 27–38.
3. Affane, D.—Aissous, M.—Yarou, M. F.: Existence results for sweeping process with almost convex perturbation, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 61 (2018), 119–134.
4. Affane, D.—Azzam-Laouir, D.: Second-order differential inclusions with almost convex right-hand sides, Electron. J. Qual. Theory Differ. Equ. 34 (2011), 1–14.
5. Affane, D.—Azzam-Laouir, D.: Almost convex valued perturbation to time optimal control sweeping processes, ESAIM Control Optim. Calc. Var. 23 (2017), 1–12.
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