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

被引：0

作者：

B.LEKDIM ^{[1
]}

A.KHEMMOUDJ ^{[1
]}

机构：

[1] Faculty of Mathematics, University of Sciences and Technology Houari Boumedienne

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;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

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, 2018, 39 : 1661 - 1678
[2] General decay of energy to a nonlinear viscoelastic two-dimensional beam
Lekdim, B.
Khemmoudj, A.
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2018, 39 (11) : 1661 - 1678
[3] 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
[4] Existence and general decay of solution for nonlinear viscoelastic two-dimensional beam with a nonlinear delay
Billal Lekdim
Ammar Khemmoudj
Ricerche di Matematica, 2024, 73 : 261 - 282
[5] 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
[6] 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
[7] General decay of the solution to a nonlinear viscoelastic beam with delay
Khemmoudj, Ammar
PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 4 (03):
[8] 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
[9] General decay of energy for a viscoelastic equation with nonlinear damping
Han, Xiaosen
Wang, Mingxin
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2009, 32 (03) : 346 - 358
[10] General decay of the solution energy in a viscoelastic equation with a nonlinear source
Messaoudi, Salim A.
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (08) : 2589 - 2598

← 1 2 3 4 5 →