Decay rate estimates for a weak viscoelastic beam equation with time-varying delay

被引：37
作者：
Park, Sun Hye [1 ]
机构：
[1] Pusan Natl Univ, Ctr Educ Accreditat, Pusan 609735, South Korea
来源：
APPLIED MATHEMATICS LETTERS | 2014年 / 31卷
基金：
新加坡国家研究基金会;
关键词：
Beam equation; Time-varying delay; Weak viscoelasticity; General decay rate; GENERAL DECAY; EXTENSIBLE BEAM; WAVE-EQUATION; UNIFORM DECAY; STABILITY; BOUNDARY; FEEDBACKS; SYSTEMS; TERM;
D O I：
10.1016/j.aml.2014.02.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a weak viscoelastic beam equation with internal time-varying delay u(tt) + Delta(2)u - M(parallel to del u parallel to(2)) Delta u + sigma(t) integral(t)(0) g(t - s)Delta u(s)ds +a(0)u(t) + a(1)u(t)(x, t -tau(t)) = 0. By introducing suitable energy and Lyapunov functionals, we establish general decay estimates for the energy, which depends on the behavior of both sigma and g. (C) 2014 Elsevier Ltd. All rights reserved.
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页码：46 / 51
页数：6
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