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Research Article | Open Access

Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products

Tao Wu1,2( )
Guizhou Institute for Rural Vitalization, Guizhou Education University, Guiyang 550018, China
Guizhou Institute of Minority Education, Guizhou Education University, Guiyang 550018, China
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Abstract

In this paper, we study variation-inequality initial-boundary value problems with fouth order p ( x )-Kirchhoff operators. First, an operator is constructed based on the Leray Schauder principle, and the existence of solutions is obtained. Secondly, the stability and uniqueness of the solution are analyzed after the conditions are appropriately relaxed on the Kirchhoff operators.

Keywords

parabolic variation-inequality problemsweak solutionfouth order p(x)-Kirchhoff operatorexistenceuniquenessstability
CLC number: 35K99, 97M30

References

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AIMS Mathematics
Volume 8 Issue 3,
March 2023
Pages 6749-6762
DOI: 10.3934/math.2023343

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Cite this article:
Wu T. Some results for a variation-inequality problem with fourth order p(x)-Kirchhoff operator arising from options on fresh agricultural products. AIMS Mathematics, 2023, 8(3): 6749-6762. https://doi.org/10.3934/math.2023343

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Received: 26 October 2022
Revised: 20 December 2022
Accepted: 23 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)