Well-posedness and exponential decay for laminated Timoshenko beams with time delays and boundary feedbacks

被引：44

作者：

Feng, Baowei ^{[1
]}

机构：

[1] Southwestern Univ Finance & Econ, Dept Econ Math, Chengdu 611130, Sichuan, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 03期

基金：

中国国家自然科学基金;

关键词：

boundary feedbacks; delay; exponential decay; laminated beam; Timoshenko; INTERFACIAL SLIP; STABILITY RESULT; EVOLUTION-EQUATIONS; WAVE-EQUATION; ENERGY DECAY; STABILIZATION; SYSTEM; THERMOELASTICITY; MEMORY; TERM;

D O I：

10.1002/mma.4655

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with laminated beams modeled from the well-established Timoshenko system with time delays and boundary feedbacks. By using semigroup method, we prove the global well-posedness of solutions. Assuming the weights of the delay are small, we establish the exponential decay of energy to the system by using an appropriate Lyapunov functional.

引用

页码：1162 / 1174

页数：13

共 41 条

[1] Asymptotic behavior for Timoshenko beams subject to a single nonlinear feedback control [J].

Alabau-Boussouira, Fatiha .

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 14 (5-6) :643-669

[2] Stability to weakly dissipative Timoshenko systems [J].

Almeida Junior, D. S. ;

Santos, M. L. ;

Munoz Rivera, J. E. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (14) :1965-1976

[3] Energy decay for Timoshenko systems of memory type [J].

Ammar-Khodja, F ;

Benabdallah, A ;

Rivera, JEM ;

Racke, R .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2003, 194 (01) :82-115

[4] Stabilization of the nonuniform Timoshenko beam [J].

Ammar-Khodja, Farid ;

Kerbal, Sebti ;

Soufyane, Abdelaziz .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 327 (01) :525-538

[5] Feedback boundary stabilization of wave equations with interior delay [J].

Ammari, Kais ;

Nicaise, Serge ;

Pignotti, Cristina .

SYSTEMS & CONTROL LETTERS, 2010, 59 (10) :623-628

[6]

[Anonymous], 2015, ELECTRON J DIFFER EQ

[7]

[Anonymous], 2012, Semigroups of Linear Operators and Applications to Partial Differential Equations, DOI DOI 10.1007/978-1-4612-5561-1

[8] Uniform stability of a laminated beam with structural damping and second sound [J].

Apalara, Tijani A. .

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2017, 68 (02)

[9] An Exponential Stability Result of a Timoshenko System with Thermoelasticity with Second Sound and in the Presence of Delay [J].

Apalara, Tijani A. ;

Messaoudi, Salim A. .

APPLIED MATHEMATICS AND OPTIMIZATION, 2015, 71 (03) :449-472

[10] Artificial boundary condition for a modified fractional diffusion problem [J].

Awotunde, Abeeb A. ;

Ghanam, Ryad A. ;

Tatar, Nasser-eddine .

BOUNDARY VALUE PROBLEMS, 2015, :1-17

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