摘要
本文给出了一些保证微分方程的周期解和概周期解的存在性、唯一性、稳定性与不稳定性的充分性条件及周期解的存在范围估计式.所得结果推广[1]的主要结果及[2-6]的有关结果.
This paper gives some sufficient conditions which ganrantee the existence and uniqueness and stability and instability of periodic solutions and almost periodic solutions and the estimate on the existence bound of the periodic solutions for some differential equations. Our results extend the main results in [1] and the relative results in [2-6].
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1997年第1期80-89,共10页
Acta Mathematica Sinica:Chinese Series
基金
福建省自然科学基金
关键词
概周期解
存在性
唯一性
稳定性
微分方程
Periodic solutions, Almost periodic solutions, Existence, Uniqueness, Sta-bility, Instability