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.
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页码：595 / 615
页数：21
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