Approximate controllability for a class of hemivariational inequalities |
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| Institution: | 1. Department of Mathematics, Guelma University, Guelma 24000, Algeria;2. Department of Mathematics, Peter the Great Saint Petersburg Polytechnic University, Saint Petersburg 195251, Russia |
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| Abstract: | In this paper, we deal with the approximate controllability for control systems described by a class of hemivariational inequalities. Firstly, we introduce the concept of mild solutions for hemivariational inequalities. Then the approximate controllability is formulated and proved by utilizing a fixed-point theorem of multivalued maps and properties of generalized Clarke subdifferential. |
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| Keywords: | Approximate controllability Hemivariational inequalities Mild solutions Generalized Clarke subdifferential |
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