三阶非线性系统的周期解 |
| |
引用本文: | 孙继涛. 三阶非线性系统的周期解[J]. 大学数学, 1993, 0(1) |
| |
作者姓名: | 孙继涛 |
| |
作者单位: | 华东冶金学院 |
| |
摘 要: | 本文用作者在文[1]引进的S 稳定的概念,给出了下面三个三阶非线性系统x~■+ax″+bx′+integral(t,x)=0;x~■+ax″+integral(t,x′)+cx=0;x~■+integral(t,x″)+bx′+cx=0存在唯一稳定周期解的充分条件,推广和改进了文[2—3]的工作.
|
关 键 词: | S稳定 非线性系统 周期解 |
Periodic Solution about Nonlinear Three—Order System |
| |
Abstract: | In this paper,we make use of concept of s—stability in paper[1],obtain the sufficient condition of exis-ence and uniqueness and stable periodic solution about three vrders nontinear systemx~(?)+ax″+bx′+f(t,x)=0x~(?)+ax″+f(t,x~)cx=0x~(?)+f(t,x″)+bx′+cx=0the resnts of paper[2—3]are ertended and improved. |
| |
Keywords: | S—stability Nonlinear system Periodic Solution. |
本文献已被 CNKI 等数据库收录! |
|