Geodesic
A system of evolutionary problems driven by a system of hemivariational inequalities
Ceng, Lu-Chuan 1 ; Wen, Ching-Feng 2 ; Yao, Jen-Chih 3 ; Yao, Yonghong 4
1 Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
2 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
3 Center for General Education, China Medical University, Taichung 40402, Taiwan
4 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 3, p. 342-357.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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).
DOI : 10.22436/jnsa.011.03.03
Classification : 49K40, 47J20, 49J52
Keywords: Evolution equation, hemivariational inequality, \(\nu\)-condensing mapping, generalized Clarke subdifferential

Ceng, Lu-Chuan  1 ; Wen, Ching-Feng  2 ; Yao, Jen-Chih  3 ; Yao, Yonghong  4

1 Department of Mathematics, Shanghai Normal University, Shanghai 200234, China
2 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
3 Center for General Education, China Medical University, Taichung 40402, Taiwan
4 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China 
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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 its applications, Tome 11 (2018) no. 3, p. 342-357. doi : 10.22436/jnsa.011.03.03. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.03.03/

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