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

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).


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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


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