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

共 50 条

[1] General decay of energy to a nonlinear viscoelastic two-dimensional beam
B.LEKDIM
A.KHEMMOUDJ
Applied Mathematics and Mechanics(English Edition), 2018, 39 (11) : 1661 - 1678
[2] General decay of energy to a nonlinear viscoelastic two-dimensional beam
B. Lekdim
A. Khemmoudj
Applied Mathematics and Mechanics, 2018, 39 : 1661 - 1678
[3] Existence and energy decay of solution to a nonlinear viscoelastic two-dimensional beam with a delay
Billal Lekdim
Ammar Khemmoudj
Multidimensional Systems and Signal Processing, 2021, 32 : 915 - 931
[4] Existence and energy decay of solution to a nonlinear viscoelastic two-dimensional beam with a delay
Lekdim, Billal
Khemmoudj, Ammar
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2021, 32 (03) : 915 - 931
[5] Existence and general decay of solution for nonlinear viscoelastic two-dimensional beam with a nonlinear delay
Lekdim, Billal
Khemmoudj, Ammar
RICERCHE DI MATEMATICA, 2024, 73 (01) : 261 - 282
[6] General decay of energy for a viscoelastic equation with nonlinear damping
Han, Xiaosen
Wang, Mingxin
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (05): : 806 - 817
[7] General decay result for nonlinear viscoelastic equations
Mustafa, Muhammad I.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 457 (01) : 134 - 152
[8] General decay of the solution to a nonlinear viscoelastic beam with delay
Khemmoudj, Ammar
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 4 (03):
[9] Global existence and general decay for a nonlinear viscoelastic equation with nonlinear localized damping and velocity-dependent material density
Zhang, Zai-Yun
Liu, Zhen-Hai
Gan, Xiang-Yang
APPLICABLE ANALYSIS, 2013, 92 (10) : 2021 - 2048
[10] GENERAL DECAY OF ENERGY FOR A VISCOELASTIC EQUATION WITH DAMPING AND SOURCE TERMS
Wu, Shun-Tang
TAIWANESE JOURNAL OF MATHEMATICS, 2012, 16 (01): : 113 - 128

← 1 2 3 4 5 →