Lamé system with weak damping and nonlinear time-varying delay

被引：4

作者：

Yang, Xin-Guang ^{[1
]}

Wang, Shubin ^{[2
]}

Silva, Marcio A. Jorge ^{[3
]}

机构：

[1] Henan Normal Univ, Dept Math & Informat Sci, Xinxiang 453007, Peoples R China

[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

[3] Univ Estadual Londrina, Dept Math, BR-86057970 Londrina, PR, Brazil

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2023年 / 12卷 / 01期

关键词：

Lame system; nonlinear time-varying delay; quasi-stability; 2ND-ORDER EVOLUTION-EQUATIONS; WAVE-EQUATION; ASYMPTOTIC STABILITY; BOUNDARY; STABILIZATION; DECAY; CONTROLLABILITY; ATTRACTORS; FEEDBACK; ENERGY;

D O I：

10.1515/anona-2023-0115

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is concerned with the stability and dynamics for the weak damped Lame system with nonlinear time-varying delay in a bounded domain. Under some appropriate assumptions, the global well-posedness and asymptotic stability are shown in the case where the delay coefficient is upper dominated by the damping one. Moreover, the finite dimensional global and exponential attractors have also been presented by relying on quasi-stability arguments. The results in this article is an extension of Ma, Mesquita, and Seminario-Huertas's recent work [Smooth dynamics of weakly damped Lame systems with delay, SIAM J. Math. Anal. 53 (2021), no. 4, 3759-3771].

引用

页数：22

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