General decay of a von Karman plate equation with memory on the boundary

被引：2
|
作者：
Park, Sun-Hye [1 ]
机构：
[1] Pusan Natl Univ, Off Educ Accreditat, Busan 609735, South Korea
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2018年 / 75卷 / 09期
基金：
新加坡国家研究基金会;
关键词：
Karman equation; General decay; Convexity; Memory term; NONLINEAR INTERIOR DISSIPATION; GLOBAL ATTRACTORS; RATES;
D O I：
10.1016/j.camwa.2018.01.032
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the influence of boundary dissipation on the decay property of the solutions for a von Karman plate equation with a memory condition on one part of the boundary. Dropping the condition u(0) = 0 on one part of the boundary, we show a general stability result for the equation via setting modified energy functionals which are equivalent to the energy of the equation and using some properties of convex functions. This result allows a wider class of relaxation functions and improve earlier results of Mustafa and Abusharkh (2015) and Park and Park (2005). (C) 2018 Elsevier Ltd. All rights reserved.
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页码：3067 / 3080
页数：14
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