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.
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页码：643 / 652
页数：10
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