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Topological Methods in Nonlinear Analysis

Existence results for a class of semilinear differential variational inequalities with nonlocal boundary conditions
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Existence results for a class of semilinear differential variational inequalities with nonlocal boundary conditions

Authors

  • Zhenhai Liu https://orcid.org/0000-0001-6022-1970
  • Liang Lu https://orcid.org/0000-0002-8513-4723
  • Xiufeng Guo

Keywords

Semilinear differential variational inequalities, existence of mild solutions, topological degree theory, Yosida approximations, nonlocal boundary conditions

Abstract

In the paper we study a class of semilinear differential variational systems with nonlocal boundary conditions, which are obtained by mixing evolution equations and generalized variational inequalities. Firstly, we show the properties of the solution set for generalized variational inequalities. Then, the existence results are established and proved mainly by the topological degree theory and the Yosida approximations of the generator of $C_0$-semigroup.

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Published

2020-05-06

How to Cite

1.
LIU, Zhenhai, LU, Liang and GUO, Xiufeng. Existence results for a class of semilinear differential variational inequalities with nonlocal boundary conditions. Topological Methods in Nonlinear Analysis. Online. 6 May 2020. Vol. 55, no. 2, pp. 429 - 449. [Accessed 2 July 2025].
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