Stabilization of a coupled bridge system with past history and gurtin-pipkin's heat conduction

被引：1

作者：

Mukiawa, Soh Edwin ^{[1
]}

Audu, Johnson D. ^{[2
]}

Messaoudi, Salim A. ^{[3
]}

机构：

[1] Univ Hafr Al Batin, Dept Math, Hafar al Batin 39524, Saudi Arabia

[2] King Fahd Univ Petr & Minerals, Preparatory Year Program, Dhahran, Saudi Arabia

[3] Univ Sharjah, Dept Math, POB 27272, Sharjah, U Arab Emirates

来源：

QUAESTIONES MATHEMATICAE | 2025年 / 48卷 / 05期

关键词：

Suspension bridge; infinite memory; Gurtin-Pipkin's law; stabilization; LARGE TORSIONAL OSCILLATIONS; SUSPENSION BRIDGES; NONLINEAR OSCILLATIONS; EXISTENCE; STABILITY; BEHAVIOR; ENERGY; DECAY;

D O I：

10.2989/16073606.2025.2457677

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The asymptotic stability of the vertical vibrations of a suspension bridge and the main cables from which the bridge is suspended by the cables is investigated. The history of the materials of the bridge and the effect of heat governed by Gurtin-Pipkin's thermal law on main cables are taking into consideration. We show that the damping induced by the infinite memory of the bridge and the heat on the main cables are strong enough to stabilize the system.

引用

页码：729 / 746

页数：18

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