Control Systems Described by a Class of Fractional Semilinear Evolution Equations and Their Relaxation Property

被引：1
|
作者：
Liu, Xiaoyou [1 ]
Fu, Xi [2 ]
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China
[2] Shaoxing Univ, Dept Math, Shaoxing 312000, Zhejiang, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2012年
关键词：
L(P)-CONTINUOUS EXTREME SELECTORS; BOUNDARY-VALUE-PROBLEMS; APPROXIMATE CONTROLLABILITY; DECOMPOSABLE VALUES; MULTIFUNCTIONS; EXISTENCE;
D O I：
10.1155/2012/850529
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a control system described by a class of fractional semilinear evolution equations in a separable reflexive Banach space. The constraint on the control is a multivalued map with nonconvex values which is lower semicontinuous with respect to the state variable. Along with the original system we also consider the system in which the constraint on the control is the upper semicontinuous convex-valued regularization of the original constraint. We obtain the existence results for the control systems and the relaxation property between the solution sets of these systems.
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收藏
页数：20
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