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...

Full description

Saved in:
Bibliographic Details
Main Authors: Chengfu Wang, Pengcheng Wu, Yuying Zhou
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2020/2831242
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832554989630783488
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
work_keys_str_mv AT chengfuwang anoptimalcontrolproblemgovernedbyakirchhofftypevariationalinequality
AT pengchengwu anoptimalcontrolproblemgovernedbyakirchhofftypevariationalinequality
AT yuyingzhou anoptimalcontrolproblemgovernedbyakirchhofftypevariationalinequality
AT chengfuwang optimalcontrolproblemgovernedbyakirchhofftypevariationalinequality
AT pengchengwu optimalcontrolproblemgovernedbyakirchhofftypevariationalinequality
AT yuyingzhou optimalcontrolproblemgovernedbyakirchhofftypevariationalinequality