Energy decay rates for von Karman system with memory and boundary feedback

被引：19

作者：

Kang, Jum-Ran ^{[1
]}

机构：

[1] Dong A Univ, Dept Math, Pusan 604714, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 218卷 / 18期

关键词：

Viscoelastic; Von Karman system; General decay rate; Boundary damping; Convexity; NONLINEAR VISCOELASTIC EQUATION; GENERAL DECAY; UNIFORM DECAY; WAVE-EQUATION; GLOBAL EXISTENCE; PLATE; STABILIZATION; STABILITY; CONVEXITY;

D O I：

10.1016/j.amc.2012.02.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the von Karman plate model with long-range memory and boundary nonlinear feedback. We establish an explicit and general decay rate result, using some properties of the convex functions. Our result is obtained without imposing any restrictive growth assumption on the damping term and strongly weakening the usual assumptions on the relaxation function. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：9085 / 9094

页数：10

共 50 条

[41] Decay Results for a Viscoelastic Problem with Nonlinear Boundary Feedback and Logarithmic Source Term
Al-Gharabli, Mohammad M.
Al-Mahdi, Adel M.
Messaoudi, Salim A.
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2022, 28 (01) : 71 - 89
[42] GENERAL DECAY FOR A DIFFERENTIAL INCLUSION OF KIRCHHOFF TYPE WITH A MEMORY CONDITION AT THE BOUNDARY
Kang, Jum-Ran
ACTA MATHEMATICA SCIENTIA, 2014, 34 (03) : 729 - 738
[43] STABILITY OF A VON KARMAN EQUATION WITH INFINITE MEMORY
Park, Sun-Ye
ACTA MATHEMATICA SCIENTIA, 2017, 37 (04) : 965 - 973
[44] General decay for a wave equation of Kirchhoff type with a boundary control of memory type
Wu, Shun-Tang
BOUNDARY VALUE PROBLEMS, 2011, : 1 - 15
[45] Uniform Decay of Solutions for von Karman Equations of Dynamic Viscoelasticity with Memory
Jong Yeoul Park
Jum Ran Kang
Acta Applicandae Mathematicae, 2010, 110 : 1461 - 1474
[46] GLOBAL STABILIZATION OF A DYNAMIC VON KARMAN PLATE WITH NONLINEAR BOUNDARY FEEDBACK
HORN, MA
LASIECKA, I
APPLIED MATHEMATICS AND OPTIMIZATION, 1995, 31 (01): : 57 - 84
[47] General Decay of Solutions of a Thermoelastic Bresse System with Viscoelastic Boundary Conditions
Khemmoudj, Ammar
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (06): : 157 - 182
[48] Decay of the timoshenko beam with thermal effect and memory boundary conditions
Aouadi, M.
Soufyane, A.
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS, 2013, 19 (01) : 33 - 46
[49] Blow-up results for a quasilinear von Karman equation of memory type
Lee, Mi Jin
Kang, Jum-Ran
BOUNDARY VALUE PROBLEMS, 2019, 2019 (01)
[50] Energy decay for a von Karman equation with time-varying delay
Park, Sun-Hye
APPLIED MATHEMATICS LETTERS, 2016, 55 : 10 - 17

← 1 2 3 4 5 →