Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED Set-Valued and Variational Analysis Pub Date : 2024-03-12 DOI:10.1007/s11228-024-00711-9

Dalila Azzam-Laouir, Karima Dib

引用次数: 0

Abstract

The main purpose of the present paper is the characterization, in the finite dimensional setting, of weak and strong invariance of closed sets with respect to a differential inclusion governed by time-dependent maximal monotone operators and multi-valued perturbation, by the use of the corresponding Hamiltonians.

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关于具有随时间变化的最大单调算子的微分夹杂的不变闭集

本文的主要目的是在有限维环境下，通过使用相应的哈密顿量，描述闭集在受时变最大单调算子和多值扰动支配的微分包容方面的弱不变性和强不变性。

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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来源期刊

Set-Valued and Variational Analysis MATHEMATICS, APPLIED-

CiteScore

2.90

自引率

6.20%

发文量

审稿时长

>12 weeks

期刊介绍： The scope of the journal includes variational analysis and its applications to mathematics, economics, and engineering; set-valued analysis and generalized differential calculus; numerical and computational aspects of set-valued and variational analysis; variational and set-valued techniques in the presence of uncertainty; equilibrium problems; variational principles and calculus of variations; optimal control; viability theory; variational inequalities and variational convergence; fixed points of set-valued mappings; differential, integral, and operator inclusions; methods of variational and set-valued analysis in models of mechanics, systems control, economics, computer vision, finance, and applied sciences. High quality papers dealing with any other theoretical aspect of control and optimization are also considered for publication.

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