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
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
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页码:873 / 894
页数:22
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