General decay of energy to a nonlinear viscoelastic two-dimensional beam

被引：7
|
作者：
Lekdim, B. [1 ]
Khemmoudj, A. [1 ]
机构：
[1] Univ Sci & Technol Houari Boumedienne, Fac Math, POB 32, Algiers 16111, Algeria
来源：
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2018年 / 39卷 / 11期
关键词：
two-dimensional space; viscoelastic beam; nonlinear tension; exponential decay; Lyapunov functional; EULER-BERNOULLI BEAM; 2ND-ORDER EVOLUTION-EQUATIONS; ASYMPTOTIC STABILITY; GLOBAL EXISTENCE; BOUNDARY STABILIZATION; EXPONENTIAL DECAY; VOLTERRA EQUATION; UNIFORM DECAY; MEMORY; SOLVABILITY;
D O I：
10.1007/s10483-018-2389-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A viscoelastic beam in a two-dimensional space is considered with nonlinear tension. A boundary feedback is applied at the right boundary of the beam to suppress the undesirable vibration. The well-posedness of the problem is established. With the multiplier method, a uniform decay result is proven.
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页码：1661 / 1678
页数：18
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