IMPULSIVE HEMIVARIATIONAL INEQUALITY FOR A CLASS OF HISTORY-DEPENDENT QUASISTATIC FRICTIONAL CONTACT PROBLEMS

被引：2
|
作者：
Guo, Furi [1 ,2 ]
Wang, Jinrong [1 ]
Han, Jiangfeng [3 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China
[2] Shanxi Datong Univ, Dept Math & Stat, Datong 037009, Shanxi, Peoples R China
[3] Guangxi Univ Finance & Econ, Dept Informat & Stat, Nanning 530003, Guangxi, Peoples R China
来源：
EVOLUTION EQUATIONS AND CONTROL THEORY | 2021年
基金：
中国国家自然科学基金;
关键词：
Hemivariational inequality; impulsive equational; frictional contact; Rothe method; VARIATIONAL-INEQUALITIES; VISCOELASTIC MATERIALS;
D O I：
10.3934/eect.2021057
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a class of history-dependent frictional contact problem with the surface traction affected by the impulsive differential equation. The weak formulation of the contact problem is a history-dependent hemivariational inequality with the impulsive differential equation. By virtue of the surjectivity of multivalued pseudomonotone operator theorem and the Rothe method, existence and uniqueness results on the abstract impulsive differential hemivariational inequalities is established. In addition, we consider the stability of the solution to impulsive differential hemivariational inequalities in relation to perturbation data. Finally, the existence and uniqueness of weak solution to the contact problem is proved by means of abstract results.
引用
收藏
页码：1613 / 1633
页数：21
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