Relaxation control for a class of evolution hemivariational inequalities

被引：5
|
作者：
Liu, Xiaoyou [1 ,2 ]
Liu, Zhenhai [1 ,3 ]
机构：
[1] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China
[2] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China
[3] Guangxi Univ Nationalities, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Guangxi Provinc, Peoples R China
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2014年 / 202卷 / 01期
关键词：
L(P)-CONTINUOUS EXTREME SELECTORS; DECOMPOSABLE VALUES; ELLIPTIC TYPE; EXISTENCE; MULTIFUNCTIONS; 2ND-ORDER; THEOREMS;
D O I：
10.1007/s11856-014-1066-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider a control system governed by a class of evolution hemivariational inequalities. The constraint on the control is given by a multivalued function with nonconvex values that is lower semicontinuous with respect to the state variable. Meanwhile, we handle the same system in which the constraint on the control is the upper semicontinuous convex valued regularization of the original constraint. We finally study relations between the solution sets of these systems.
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页码：35 / 58
页数：24
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