论迭代微分夹杂的可实现集

Pub Date : 2023-12-01 DOI:10.1515/ms-2023-0107

Samia Ghalia, Doria Affane

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引用次数: 0

摘要

摘要本文考虑了一阶迭代微分包容。我们研究了解的存在性和可得集的一些拓扑特性，其中右边是一个具有凸值的上半连续多元函数。然后，我们在不要求值的凸性和弱化上半连续性假设的前提下处理自主问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Attainable Set of Iterative Differential Inclusions

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.

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