积分-微分拟正则扫描过程的Lipschitz多值摄动

IF 1.6 2区数学 Q2 MATHEMATICS, APPLIED

Applied Mathematics and Optimization Pub Date : 2025-04-19 DOI:10.1007/s00245-025-10258-2

Tahar Haddad, Sarra Gaouir, Lionel Thibault

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引用次数: 0

摘要

希尔伯特空间中具有准正则集的积分-微分扫描过程是近年来各种研究的主题。这种微分内含物在互补性问题、电路、无摩擦接触等方面的不同应用可以在文献中找到。本文给出了一类非凸Lipschitz多映射扰动过程解的存在性的一般定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Lipschitz Multivalued Perturbations of Integro-differential Prox-Regular Sweeping Processes

Integro-differential sweeping processes with prox-regular sets in Hilbert spaces have been the subject of various recent studies. Diverse applications of such differential inclusions to complementarity problems, electrical circuits, frictionless contact, can be found in the literature. Here we provide a general theorem of existence of solution for such processes perturbed by a Lipschitz multimapping with nonconvex values.

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来源期刊

Applied Mathematics and Optimization 数学-应用数学

CiteScore

3.30

自引率

5.60%

发文量

103

审稿时长

>12 weeks

期刊介绍： The Applied Mathematics and Optimization Journal covers a broad range of mathematical methods in particular those that bridge with optimization and have some connection with applications. Core topics include calculus of variations, partial differential equations, stochastic control, optimization of deterministic or stochastic systems in discrete or continuous time, homogenization, control theory, mean field games, dynamic games and optimal transport. Algorithmic, data analytic, machine learning and numerical methods which support the modeling and analysis of optimization problems are encouraged. Of great interest are papers which show some novel idea in either the theory or model which include some connection with potential applications in science and engineering.