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.

引用

页码：1661 / 1678

页数：18

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