General stability of a viscoelastic variable coefficients plate equation with time-varying delay in localized nonlinear internal feedback

被引：1

作者：

Wang, Peipei ^{[1
]}

Hao, Jianghao ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2018年 / 466卷 / 02期

关键词：

Thermoelastic; Nonlinear internal feedbacks; Time-varying delay; Riemannian manifold; EULER-BERNOULLI PLATE; WAVE-EQUATION; ENERGY DECAY; ASYMPTOTIC-BEHAVIOR; STABILIZATION;

D O I：

10.1016/j.jmaa.2018.06.074

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the decay properties of a memory-type Euler Bernoulli plate equation with variable coefficients and time-varying delay in localized nonlinear internal feedback. By using piecewise multiplier method and Riemannian geometric analysis, we establish the explicit and general decay rates of system whose nonlinear internal feedbacks act on a suitable subregion. (C) 2018 Elsevier Inc. All rights reserved.

引用

页码：1582 / 1608

页数：27

共 31 条

[1]

[Anonymous], 2013, Mathematical methods of classical mechanics

[2]

[Anonymous], 1986, Annali di Matematica Pura ed Applicata, DOI [DOI 10.1007/BF01762360.MR916688, DOI 10.1007/BF01762360]

[3]

[Anonymous], 1987, PITMAN MONOGRAPHS SU

[4]

Berrimi S., 2004, Electron. J. Differ. Equations, V2004, P1

[5] Energy decay of solutions for a variable-coefficient viscoelastic wave equation with a weak nonlinear dissipation [J].

Cao, Xiaomin .

JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (02) :021509

[6] General decay rate estimates for viscoelastic wave equation with variable coefficients [J].

Cao Xiaomin ;

Yao Pengfei .

JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2014, 27 (05) :836-852

[7] Frictional versus viscoelastic damping in a semilinear wave equation [J].

Cavalcanti, MM ;

Oquendo, HP .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 42 (04) :1310-1324

[8]

Charao RC, 2006, PROG NONLINEAR DIFFE, V66, P67

[9] NOT ALL FEEDBACK STABILIZED HYPERBOLIC SYSTEMS ARE ROBUST WITH RESPECT TO SMALL TIME DELAYS IN THEIR FEEDBACKS [J].

DATKO, R .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1988, 26 (03) :697-713

[10] AN EXAMPLE ON THE EFFECT OF TIME DELAYS IN BOUNDARY FEEDBACK STABILIZATION OF WAVE-EQUATIONS [J].

DATKO, R ;

LAGNESE, J ;

POLIS, MP .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1986, 24 (01) :152-156

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