Asymptotic stability for nonlinear Kirchhoff systems

被引：28

作者：

Autuori, Giuseppina ^{[2
]}

Pucci, Patrizia ^{[1
]}

Salvatori, Maria Cesarina ^{[1
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

[2] Univ Florence, Dipartimento Matemat U Dini, I-50134 Florence, Italy

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 02期

关键词：

Nonlinear damped Kirchhoff systems; Strongly damped Kirchhoff systems; Asymptotic stability; DISSIPATIVE WAVE SYSTEMS; ATTRACTORS; EQUATIONS; STRINGS; DECAY;

D O I：

10.1016/j.nonrwa.2007.11.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the asymptotic stability for solutions of the nonlinear damped Kirchhoff system, with homogeneous Dirichlet boundary conditions, under fairly natural assumptions on the external force f and the distributed damping Q. Then the results are extended to a more delicate problem involving also an internal dissipation of higher order, the so called strongly damped Kirchhoff system. Finally, the study is further extended to strongly damped Kirchhoff-polyharmonic systems, which model several interesting problems of the Woinowsky-Krieger type. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：889 / 909

页数：21

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