Approximate controllability for second order nonlinear evolution hemivariational inequalities

被引：11
|
作者：
Li, Xiuwen [1 ]
Liu, Zhenhai [2 ,3 ]
Migorski, Stanislaw [4 ]
机构：
[1] Baise Univ, Coll Math & Stat, Baise 533000, Peoples R China
[2] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Peoples R China
[3] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Peoples R China
[4] Jagiellonian Univ, Fac Math & Comp Sci, Chair Optimizat & Control, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
来源：
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2015年 / 100期
关键词：
approximate controllability; evolution inclusion; hemivariational inequality; Clarke subdifferential; cosine operator theory; fixed point; GLOBAL-SOLUTIONS; EXISTENCE; SYSTEMS; INCLUSIONS;
D O I：
10.14232/ejqtde.2015.1.100
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The goal of this paper is to study approximate controllability for control systems driven by abstract second order nonlinear evolution hemivariational inequalities in Hilbert spaces. First, the concept of a mild solution of our problem is defined by using the cosine operator theory and the generalized Clarke subdifferential. Next, the existence and the approximate controllability of mild solutions are formulated and proved by means of the fixed points strategy. Finally, an example is provided to illustrate our main results.
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页数：16
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