Asymptotic behavior of solution for Kirchhoff suspension bridge equations with state-dependent delay

Journal of Lanzhou University of Technology ›› 2024, Vol. 50 ›› Issue (6): 157-163.

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Asymptotic behavior of solution for Kirchhoff suspension bridge equations with state-dependent delay

WANG Su-ping¹, MA Qiao-zhen², QI Yuan¹, ZHAO Hua-ni¹

1. School of Mathematics and Information Engineering, Longdong University, Qingyang 745000, China;
2. School of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2023-04-11 Online:2024-12-28 Published:2025-01-13

Abstract

Abstract: The asymptotic behavior of the solution for the Kirchhoff suspension bridge equation with state-dependent delay was investigated. By virtue of Banach fixed-point theorem, the locally unique mild solution was obtained. The asymptotic compactness of the evolution operator was demonstrated through the method of contraction function, which leaded to the establishment of the existence of a globalattractor.

Key words: Kirchhoff suspension bridge equation, state-dependent delay, contractive function, global attractor

CLC Number:

O175.29

WANG Su-ping, MA Qiao-zhen, QI Yuan, ZHAO Hua-ni. Asymptotic behavior of solution for Kirchhoff suspension bridge equations with state-dependent delay[J]. Journal of Lanzhou University of Technology, 2024, 50(6): 157-163.

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https://journal.lut.edu.cn/EN/Y2024/V50/I6/157

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Asymptotic behavior of solution for Kirchhoff suspension bridge equations with state-dependent delay

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