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Relaxation control for a class of evolution hemivariational inequalities |
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| Authors: | Xiaoyou Liu Zhenhai Liu |
| Institution: | 1. College of Sciences, Guangxi University for Nationalities, Nanning, 530006, Guangxi Province, P. R. China 2. School of Mathematical Science and Computing Technology, Central South University, Changsha, 410075, Hunan Province, P.R.China 3. Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis and College of Sciences, Guangxi University for Nationalities, Nanning, 530006, Guangxi Province, P. R. China |
| Abstract: | We consider a control system governed by a class of evolution hemivariational inequalities. The constraint on the control is given by a multivalued function with nonconvex values that is lower semicontinuous with respect to the state variable. Meanwhile, we handle the same system in which the constraint on the control is the upper semicontinuous convex valued regularization of the original constraint. We finally study relations between the solution sets of these systems. |
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