| 摘要: |
| 研究具有多个奇点的广义Liénard系统ẋ=1/a(x)(h(y)-F(x)),ẏ=-a(x)g(x)解的有界性,获得了系统解正向有界的充要条件,进而得全局渐近稳定的充要条件。 |
| 关键词: 广义Liénard系统 有界性 全局渐近稳定 |
| DOI： |
| 投稿时间：1999-03-26 |
| 基金项目:广西自然科学基金资助课题(9811021)。 |
|
| Boundedness of Solutions for a Class of Generalized Liénard-type System |
|
Yang Qigui
|
| (Dept. of Math. & Comp. Sci., Guangxi Normal Univ., 3 Yucailu, Guilin, Guangxi, 541004, China) |
| Abstract: |
| The boundedness of the solutions for the generalized Liénard-type system (E):ẋ=1/a(x)[h(y) -F(x)],ẏ=-a(x) g(x) with a finite or infinite number of singular points are dealed with, and some sufficient and necessary conditions for all solution of the system to be bounded for t ≥ 0 are given. Moreover, the necessary and sufficient condition for the global asymptotic stability for (E) are obtained. |
| Key words: generalized Liénard system boundedness global asymptotic stability |
