On global stability of third-order nonlinear differential equations

被引：28

作者：

Qian, CX ^{[1
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2000年 / 42卷 / 04期

关键词：

nonlinear differential equation; trivial solution; global stability; Lyapunov's method;

D O I：

10.1016/S0362-546X(99)00120-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The global stability of the third order nonlinear differential equation is studied. A criteria for the stability of the equation, which extends and improves of theorem A, was established. The result was applied to some special cases of the equation, which have been discussed to obtain some better global stability results.

引用

页码：651 / 661

页数：11