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

[31] Global Existence and Uniform Decay for a Nonlinear Viscoelastic Equation with Damping
Park, Jong Yeoul
Kang, Jum Ran
ACTA APPLICANDAE MATHEMATICAE, 2010, 110 (03) : 1393 - 1406
[32] Global Existence and Uniform Decay for a Nonlinear Viscoelastic Equation with Damping
Jong Yeoul Park
Jum Ran Kang
Acta Applicandae Mathematicae, 2010, 110 : 1393 - 1406
[33] EXPONENTIAL DECAY OF SOLUTIONS TO A VISCOELASTIC EQUATION WITH NONLINEAR LOCALIZED DAMPING
Berrimi, Said
Messaoudi, Salim A.
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
[34] General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, logarithmic nonlinearity and distributed delay terms
Choucha, Abdelbaki
Boulaaras, Salah
Ouchenane, Djamel
Beloul, Said
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (07) : 5436 - 5457
[35] Exponential decay for a neutral one-dimensional viscoelastic equation
Tatar, Nasser-eddine
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2018, 47 (03): : 625 - 635
[36] GENERAL DECAY OF POROUS ELASTIC SYSTEM WITH THERMO-VISCOELASTIC DAMPING
Djellali, F.
Labidi, S.
Taallah, F.
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2021, 9 (01): : 31 - 43
[37] Exponential or polynomial decay of solutions to a viscoelastic equation with nonlinear localized damping
Liu W.
Journal of Applied Mathematics and Computing, 2010, 32 (1) : 59 - 68
[38] Existence and Decay of Solutions of a Nonlinear Viscoelastic Problem with a Mixed Nonhomogeneous Condition
Long, Nguyen Thanh
Dinh, Alain Pham Ngoc
Truong, Le Xuan
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (11-12) : 1363 - 1393
[39] Global well-posedness and general energy decay of solutions for fully dynamic and electrostatic piezoelectric beams with a viscoelastic damping
Messaoudi, Hassan
Douib, Madani
Zitouni, Salah
FILOMAT, 2024, 38 (27) : 9475 - 9492
[40] Energy decay for a viscoelastic Kirchhoff plate equation with a delay term
Feng, Baowei
Li, Haiyan
BOUNDARY VALUE PROBLEMS, 2016,

← 1 2 3 4 5 →