Scholarlink

<p>In this paper we provide a new proof of existence of solutions for a class of first order differential inclusions involving prox-regular sweeping processes with Volterra type integral term forces. The existence result is obtained by using a regularization approach via Moreau’s envelope of the indicator function of the prox-regular moving set. We also show the local well-posedness of a new integro-differential equation involving the derivative of the square of the distance function by means of a fixed point approach.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A Regularization Approach to Integro-Differential Sweeping Processes

  • 期刊论文

  • 发表日期：

    2025年6月26日

查看全文
  • Ilyas Kecis,
  • Tahar Haddad,
  • Lionel Thibault

摘要

In this paper we provide a new proof of existence of solutions for a class of first order differential inclusions involving prox-regular sweeping processes with Volterra type integral term forces. The existence result is obtained by using a regularization approach via Moreau’s envelope of the indicator function of the prox-regular moving set. We also show the local well-posedness of a new integro-differential equation involving the derivative of the square of the distance function by means of a fixed point approach.