On the Attainable Set of Iterative Differential Inclusions

Author:

Ghalia Samia1,Affane Doria1

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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. On a Non-Convex Lagrange Optimal Control Problem;Tatra Mountains Mathematical Publications;2024-05-29

2. Truncated Perturbation to Evolution Problems Involving Time-Dependent Maximal Monotone Operators;Lobachevskii Journal of Mathematics;2024-02

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