A system of evolutionary problems driven by a system of hemivariational inequalities
Volume 11, Issue 3, pp 342--357
http://dx.doi.org/10.22436/jnsa.011.03.03
Publication Date: February 14, 2018
Submission Date: October 06, 2017
Revision Date: December 03, 2017
Accteptance Date: December 20, 2017
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Authors
Lu-Chuan Ceng
- Department of Mathematics, Shanghai Normal University, Shanghai 200234, China.
Ching-Feng Wen
- Center for Fundamental Science; and Research Center for Nonlinear Analysis and Optimization, Kaohsiung Medical University, Kaohsiung 80702, Taiwan.
- Department of Medical Research, Kaohsiung Medical University Hospital, Kaohsiung 80702, Taiwan.
Jen-Chih Yao
- Center for General Education, China Medical University, Taichung 40402, Taiwan.
Yonghong Yao
- Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China.
Abstract
In this paper, we introduce the differential system obtained by mixing a system of evolution equations and a system of hemivariational inequalities
((SEESHVI), for short). We prove
the superpositional measurability and upper semicontinuity for the solution set of a general system of hemivariational inequalities, and establish the
non-emptiness and compactness of the solution set of (SEESHVI).
Share and Cite
ISRP Style
Lu-Chuan Ceng, Ching-Feng Wen, Jen-Chih Yao, Yonghong Yao, A system of evolutionary problems driven by a system of hemivariational inequalities, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 3, 342--357
AMA Style
Ceng Lu-Chuan, Wen Ching-Feng, Yao Jen-Chih, Yao Yonghong, A system of evolutionary problems driven by a system of hemivariational inequalities. J. Nonlinear Sci. Appl. (2018); 11(3):342--357
Chicago/Turabian Style
Ceng, Lu-Chuan, Wen, Ching-Feng, Yao, Jen-Chih, Yao, Yonghong. "A system of evolutionary problems driven by a system of hemivariational inequalities." Journal of Nonlinear Sciences and Applications, 11, no. 3 (2018): 342--357
Keywords
- Evolution equation
- hemivariational inequality
- \(\nu\)-condensing mapping
- generalized Clarke subdifferential
MSC
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