Convergence of global and bounded solutions of a second order gradient like system with nonlinear dissipation and analytic nonlinearity

被引：25

作者：

Chergui, L. ^{[1
,2
]}

机构：

[1] Fac Sci Bizerte, Dept Math, Jarzouna 7021, Bizerte, Tunisia

[2] Campus Univ, Inst Preparatorie Etudes Ingn Elmanar, Tunis, Tunisia

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2008年 / 20卷 / 03期

关键词：

gradient system; equilibrium; rate of convergence;

D O I：

10.1007/s10884-007-9099-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we establish convergence to equilibrium of all global and bounded solutions of a gradient like system of second order with nonlinear dissipation and analytic nonlinearity. We estimate also the rate of convergence.

引用

页码：643 / 652

页数：10