EXISTENCE AND CONVERGENCE THEOREMS FOR EVOLUTIONARY HEMIVARIATIONAL INEQUALITIES OF SECOND ORDER

被引：0
|
作者：
Peng, Zijia [1 ,2 ]
Xiao, Cuie [3 ]
机构：
[1] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi, Peoples R China
[2] Guangxi Univ Nationalities, Sch Sci, Nanning 530006, Guangxi, Peoples R China
[3] Hunan City Univ, Dept Math & Computat Sci, Yiyang 413000, Hunan, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年
基金：
美国国家科学基金会;
关键词：
Hemivariational inequality; nonlinear evolution inclusion; Rothe method; pseudomonotone operator; Clarke's generalized gradient; INCLUSIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article concerns with a class of evolutionary hemivariational inequalities in the framework of evolution triple. Based on the Rothe method, monotonicity-compactness technique and the properties of Clarke's generalized derivative and gradient, the existence and convergence theorems to these problems are established. The main idea in the proof is using the time difference to construct the approximate problems. The work generalizes the existence results on evolution inclusions and hemivariational inequalities of second order.
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页数：17
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