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.
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.
出处
《大学数学》
1993年第1期5-8,共4页
College Mathematics
关键词
S稳定
非线性系统
周期解
S—stability
Nonlinear system
Periodic Solution.
