具有状态时滞的Kirchhoff型吊桥方程解的渐近行为

兰州理工大学学报 ›› 2024, Vol. 50 ›› Issue (6): 157-163.

具有状态时滞的Kirchhoff型吊桥方程解的渐近行为

王素萍^*1, 马巧珍², 齐渊¹, 赵花妮¹

1.陇东学院数学与信息工程学院, 甘肃庆阳 745000;
2.西北师范大学数学与统计学院, 甘肃兰州 730070

收稿日期:2023-04-11 出版日期:2024-12-28 发布日期:2025-01-13
通讯作者: 王素萍(1980-),女,甘肃镇原人,博士,教授.Email:shwangsp@163.com
基金资助:
国家自然科学基金(11961059),甘肃省自然科学基金(22JR11RM165,23JRRM730),甘肃省教育科技创新项目(2021B-270,2022A-133)

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

摘要/Abstract

摘要： 考虑了具有状态依赖时滞Kirchhoff型吊桥方程解的渐近行为.应用Banach不动点定理得到了该方程存在局部唯一的温和解,运用压缩函数证明演化算子是渐近紧的,得到全局吸引子的存在性.

关键词: Kirchhoff型吊桥方程, 状态时滞, 压缩函数, 全局吸引子

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

中图分类号:

O175.29

王素萍, 马巧珍, 齐渊, 赵花妮. 具有状态时滞的Kirchhoff型吊桥方程解的渐近行为[J]. 兰州理工大学学报, 2024, 50(6): 157-163.

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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