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| 一类二阶非线性微分方程零解的全局渐近稳定性 | |
| 引用本文： | 赵丽琴. 一类二阶非线性微分方程零解的全局渐近稳定性[J]. 数学进展, 2006, 35(3): 378-384 |
| 作者姓名： | 赵丽琴 |
| 作者单位： | 北京师范大学数学科学学院,北京,100875 |
| 基金项目： | The project-sponsored by the National Natural Science Foundation of China (No. 19901001). |
| 摘 要： | 本文研究二阶非线性微分方程■零解的全局渐近稳定性,其中各函数是实数上的连续函数．我们得到了零解全局渐近稳定的一些充分必要条件和充分条件．推广和改进了文献中的一些结论． |
| 关 键 词： | 全局渐近稳定 非线性微分方程 平凡解 |
| 文章编号： | 1000-0917（2006）03-0378-07 |
| 收稿时间： | 2003-07-11 |
| 修稿时间： | 2003-07-11 |
On Global Asymptotic Stability for a Class of Second Order Differential Equations |
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| ZHAO Li-qin. On Global Asymptotic Stability for a Class of Second Order Differential Equations[J]. Advances in Mathematics(China), 2006, 35(3): 378-384 | |
| Authors: | ZHAO Li-qin |
| Affiliation: | Department of Mathematics, Beijing Normal University, Beijing, 100875, P. R. China |
| Abstract: | This paper deals with the global asymptotic stability of the trivial solution for the second order nonlinear differential equation{ (.x)=ψ(y)-F(x),(.y)=-h(y)ω(x)-g(x),where ψ, F, h, g and ω(x) are continuous functions on R. Some necessary and sufficient conditions axe obtained and some results in the literatures are extended. |
| Keywords: | global asymptotic stability nonlinear differential equation trivial solution |
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