ON FIRST AND SECOND-ORDER PERTURBED DIFFERENTIAL INCLUSIONS GOVERNED BY MAXIMAL MONOTONE OPERATORS

被引：0

作者：

Benguessoum, Messaouda ^{[1
]}

Azzam-Laouir, Dalila ^{[1
]}

机构：

[1] Mohamed Seddik Benyahia Univ, LAOTI, Jijel, Algeria

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2024年 / 63卷 / 02期

关键词：

Absolutely continuous variation; differential inclusion; Lipschitz mapping; maximal monotone operator; pseudo-distance; second-order; LURE DYNAMICAL-SYSTEMS; EVOLUTION PROBLEMS; SWEEPING PROCESSES; EXISTENCE; TIME; SET;

D O I：

10.12775/TMNA.2023.032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we establish, in a separable Hilbert space, a result asserting the existence of absolutely continuous solutions for a system made up of a first-order differential inclusion governed by time and state-dependent maximal monotone operators; and an ordinary differential equation. From this result, we derive existence of absolutely continuous solutions to a second-order differential inclusion governed by time and state-dependent maximal monotone operators.

引用

页码：595 / 615

页数：21

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