An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality
This paper is concerned with an optimal control problem governed by a Kirchhoff-type variational inequality. The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques and the variational method, and the existence...
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Format: | Article |
Language: | English |
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Wiley
2020-01-01
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Series: | Journal of Applied Mathematics |
Online Access: | http://dx.doi.org/10.1155/2020/2831242 |
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author | Chengfu Wang Pengcheng Wu Yuying Zhou |
author_facet | Chengfu Wang Pengcheng Wu Yuying Zhou |
author_sort | Chengfu Wang |
collection | DOAJ |
description | This paper is concerned with an optimal control problem governed by a Kirchhoff-type variational inequality. The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques and the variational method, and the existence results of an optimal control for the optimal control problem governed by a Kirchhoff-type variational inequality are derived. |
format | Article |
id | doaj-art-32a54befa7a841aaafdb903fe9e8d8dc |
institution | Kabale University |
issn | 1110-757X 1687-0042 |
language | English |
publishDate | 2020-01-01 |
publisher | Wiley |
record_format | Article |
series | Journal of Applied Mathematics |
spelling | doaj-art-32a54befa7a841aaafdb903fe9e8d8dc2025-02-03T05:49:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/28312422831242An Optimal Control Problem Governed by a Kirchhoff-Type Variational InequalityChengfu Wang0Pengcheng Wu1Yuying Zhou2Department of Mathematics, Soochow University, Suzhou 215006, ChinaDepartment of Mathematics, Soochow University, Suzhou 215006, ChinaDepartment of Mathematics, Soochow University, Suzhou 215006, ChinaThis paper is concerned with an optimal control problem governed by a Kirchhoff-type variational inequality. The existence of multiplicity solutions for the Kirchhoff-type variational inequality is established by using some nonlinear analysis techniques and the variational method, and the existence results of an optimal control for the optimal control problem governed by a Kirchhoff-type variational inequality are derived.http://dx.doi.org/10.1155/2020/2831242 |
spellingShingle | Chengfu Wang Pengcheng Wu Yuying Zhou An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality Journal of Applied Mathematics |
title | An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality |
title_full | An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality |
title_fullStr | An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality |
title_full_unstemmed | An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality |
title_short | An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality |
title_sort | optimal control problem governed by a kirchhoff type variational inequality |
url | http://dx.doi.org/10.1155/2020/2831242 |
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