SECOND-ORDER PROBLEMS INVOLVING TIME-DEPENDENT SUBDIFFERENTIAL OPERATORS AND APPLICATION TO CONTROL

被引：1

作者：

Saidi, Soumia ^{[1
]}

Fennour, Fatima ^{[1
]}

机构：

[1] Mohammed Seddik Ben Yahia Univ, Dept Math, LMPA Lab, Jijel, Algeria

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2023年 / 13卷 / 03期

关键词：

Differential inclusion; second-order; subdifferential operator; mixed semi-continuous; fixed point; Young measure; optimal control; MIXED SEMICONTINUOUS PERTURBATION; FRACTIONAL DIFFERENTIAL INCLUSION; SWEEPING PROCESS; EVOLUTION-EQUATIONS; EXISTENCE; CONVERGENCE; RELAXATION;

D O I：

10.3934/mcrf.2022019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper provides a new result concerning the existence of solutions for second-order evolution problems associated with time-dependent sub differential operators involving both single-valued and mixed semi-continuous set-valued perturbations. Optimal control problems corresponding to such differential inclusions using relaxation theorems with Young measures are investigated. The existence of solutions for a coupled system governed by a second-order differential equation with an evolution problem is also addressed.

引用

页码：873 / 894

页数：22

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