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Existence of anti-periodic solutions for hemivariational inequalities

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成果类型:
期刊论文
作者:
Liu, Xiaoyou*
通讯作者:
Liu, Xiaoyou
作者机构:
[Liu, Xiaoyou] Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
通讯机构:
[Liu, Xiaoyou] U
Univ South China, Sch Math & Phys, Hengyang 421001, Peoples R China.
语种:
英文
关键词:
Hemivariational inequality;anti-periodic solutions;maximal monotone operator
关键词(中文):
周期性;操作员;单调性质;非线性;衍生物
期刊:
中国高等学校学术文摘·数学
ISSN:
1673-3452
年:
2018
卷:
13
期:
3
页码:
607-618
基金类别:
Acknowledgements The author would like to express his gratitude to the referees for their very valuable comments. This work was supported by the National Natural Science Foundation of China (Grant No. 11501284) and the Scientific Research Fund of Hunan Provincial Education Department (Grant No. 16B224).
机构署名:
本校为第一且通讯机构
院系归属:
数理学院
摘要:
J. Y. Park and T. G. Ha [Nonlinear Anal., 2008, 68: 747-767; 2009, 71: 3203-3217] investigated the existence of anti-periodic solutions for hemivariational inequalities with a pseudomonotone operator. In this note, we point out that the methods used there are not suitable for the proof of the existence of anti-periodic solutions for hemivariational inequalities and we shall give a straightforward approach to handle these problems. The main tools in our study are the maximal monotone property of the derivative operator with antiperiodic ...

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