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An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality

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  • Chengfu Wang
  • Pengcheng Wu
  • Yuying Zhou

Abstract

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.

Suggested Citation

  • Chengfu Wang & Pengcheng Wu & Yuying Zhou, 2020. "An Optimal Control Problem Governed by a Kirchhoff-Type Variational Inequality," Journal of Applied Mathematics, Hindawi, vol. 2020, pages 1-8, February.
  • Handle: RePEc:hin:jnljam:2831242
    DOI: 10.1155/2020/2831242
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