Stability analysis of heat flow with boundary time-varying delay effect

被引：19
|
作者：
Zhang, Zai-yun [1 ,2 ]
Liu, Zhen-hai [3 ]
Miao, Xiu-jin [1 ]
Chen, Yue-zhong [1 ]
机构：
[1] Cent South Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China
[2] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Hunan, Peoples R China
[3] Guangxi Univ Nationalities, Sch Math & Comp Sci, Nanning 530006, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2010年 / 73卷 / 06期
关键词：
Heat flow; Time-varying delay; Variable norm technique; Exponential stability; Modified Lyapunov functional approach; TRAVELING-WAVE-FRONTS; REACTION-DIFFUSION EQUATION; GLOBAL ASYMPTOTIC STABILITY; APPROXIMATE CONTROLLABILITY; FEEDBACK STABILIZATION; PARABOLIC EQUATIONS; SYSTEMS; EXISTENCE; MONOTONICITY; DYNAMICS;
D O I：
10.1016/j.na.2010.05.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the stabilization of heat flow with boundary time-varying delay effect. Under some assumptions, we prove exponential stability of the solution applying variable norm technique and modified Lyapunov functional approach. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1878 / 1889
页数：12
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