| STABILITY AND EXISTENCE OF PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS ON LIENARD SYSTEMS |
| |
| 作者姓名： | 林发兴 |
| |
| 作者单位： | 福州大学!350002 |
| |
| 摘 要： | 1MainResultsConsidersystem11~.x f(x)x' g(x)~0(1)wheref(x)islocallyintegrable,g(x)isdifferentiablealldg(0)=0.Theroem1Thezerosolutionofsystem(1)isuniformlyasymptoticallystableifbyequivalenttransf'Ormu=xov=X' F(x).DefineWt,(uif\v)]j6ug(s)ds Iv',thenwisaposi…
|
STABILITY AND EXISTENCE OF PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS ON LIENARD SYSTEMS |
| |
| Lin Faxing.STABILITY AND EXISTENCE OF PERIODIC SOLUTIONS AND ALMOST PERIODIC SOLUTIONS ON LIENARD SYSTEMS[J].微分方程年刊(英文版),1997(3). |
| |
| Authors: | Lin Faxing |
| |
| Institution: | Fuzhou University |
| |
| Abstract: | We consider Lienard system and obtain following conclusions: The zero solution of system x" f(x)x' g(x) = 0 is uniformly asymptotically stable if g(0) = 0, and (x) > 0. And system X" f(x)x' g(x) = e(t) has uniformly asymptotically stable solutions if g(0) = 0, and Hence it has a unique almost odic solution when e(t) is almost periodic and it has a unique periodic solution when e(t) is periodic. In 1] Fink obtained above the second conclusion if sup In 2] we obtained same result if g(x) = cx. |
| |
| Keywords: | Almost periiodic Uniformly asymptotically stable |
| 本文献已被 CNKI 等数据库收录！ |
