摘要
本文继续[1]的工作,首先推广了文[1]的定理2.定理1及基本定理,得到关于几乎周期运动 f_A 的26个等价关系;其次得到在 f(p,t)对于 f(p;I)为均匀稳定的条件下,f_R,f_c,f_I.(?)f_R′,f_L,f_L^+,f_L 等之间相互等价的结论;最后建立 Poisson 稳定性.Lagrange 稳定性与稳定之间的联系,同时顺便给出 f(p,t)为 Poisson 稳定的充分条件.
This paper continues paper I.Firstly,Theorem 1,Thorem 2 and fundamen- tal theorem in paper [1] are expanded,and 26 equivalence relations are obtained with re- spect to almost periodic recurrent motions.Secondly,the conclusion is drown that f_R,f_c,f_c(?)f_R′,f_L,f_L +,f_L - are all equivalent when f(p,t) is uniformly stable on f(p;I). Finally,the relations among poisson stability,Lagrange stability and Liapunov stability are established,and sufficient conditions on poisson stability of f(p,t) are given conveniently.
出处
《南京大学学报（自然科学版）》
CAS
CSCD
1992年第1期19-25,共7页
Journal of Nanjing University（Natural Science）
关键词
微分方程
几乎周期运动
充要条件
differential equation topological dynamic system
almost periodic recrurent motion
sufficient and necessary condition
