Asymptotic behavior of the Timoshenko-type system with nonlinear boundary control

被引：1

作者：

Ayadi, Mohamed Ali ^{[1
]}

Bchatnia, Ahmed ^{[1
]}

机构：

[1] Univ Tunis El Manar, UR Analyse Non Lineaire & Geometrie, Dept Math, Fac Sci Tunis, UR13ES32, Tunis, Tunisia

来源：

ADVANCES IN PURE AND APPLIED MATHEMATICS | 2019年 / 10卷 / 02期

关键词：

Timoshenko system; strong solution; stability; BEAM;

D O I：

10.1515/apam-2018-0005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider the Timoshenko-type system with nonlinear boundary dissipation. We prove the existence and uniqueness of the solution and we establish an explicit and general decay result for a wide class of the relaxation function, which depends on the length of the beam.

引用

页码：171 / 182

页数：12

共 50 条

[1] On Timoshenko-type systems with type III thermoelasticity: Asymptotic behavior
Santos, M. L.
Almeida Junior, D. S.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 448 (01) : 650 - 671
[2] On the control of a viscoelastic damped Timoshenko-type system
Guesmia, Aissa
Messaoudi, Salim A.
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 206 (02) : 589 - 597
[3] TIMOSHENKO-TYPE EQUATIONS
CHARNYI, LI
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1976, (01): : 83 - 86
[4] Exponential stability for a Timoshenko-type system with history
Ma, Zhiyong
Zhang, Lingrui
Yang, Xinguang
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 380 (01) : 299 - 312
[5] On the Existence of Solutions of Nonlinear Boundary Value Problems for Nonshallow Timoshenko-Type Shells with Free Edges
Timergaliev S.N.
[J]. Journal of Applied and Industrial Mathematics, 2023, 17 (04) : 874 - 891
[6] Solvability of One Nonlinear Boundary-value Problem for a System of Differential Equations of the Theory of Shallow Timoshenko-type Shells
Ahmadiev, Marat G.
Timergaliev, Samat N.
Kharasovat, Lilya S.
[J]. JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2016, 9 (02): : 131 - 143
[7] On the Existence of Solutions of Nonlinear Boundary Value Problems for a System of Differential Equilibrium Equations for Timoshenko-Type Shells in Isometric Coordinates
S. N. Timergaliev
[J]. Differential Equations, 2023, 59 : 670 - 687
[8] On the Existence of Solutions of Nonlinear Boundary Value Problems for a System of Differential Equilibrium Equations for Timoshenko-Type Shells in Isometric Coordinates
Timergaliev, S. N.
[J]. DIFFERENTIAL EQUATIONS, 2023, 59 (05) : 670 - 687
[9] GENERAL DECAY OF SOLUTIONS OF A NONLINEAR TIMOSHENKO SYSTEM WITH A BOUNDARY CONTROL OF MEMORY TYPE
Soufyane, A.
Afilal, M.
Aouam, T.
[J]. DIFFERENTIAL AND INTEGRAL EQUATIONS, 2009, 22 (11-12) : 1125 - 1139
[10] Energy decay in a Timoshenko-type system of thermoelasticity of type III
Messaoudi, Salim A.
Said-Houari, Belkacem
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (01) : 298 - 307

← 1 2 3 4 5 →