摘要
本文研究了一类带参数的微分差分方程非平凡周期解的存在性，得到了周期解存在的一个充分必要条件．应用这一结果，证明了时滞Ｌｏｇｉｓｔｉｃ方程不存在非平凡的３－周期解．
This paper studies the existence of periodic solutions with integral periods in a one parameter family differential_difference equation [AKx·(t)=f(α 0x(t),x(t-1)) by means of a new technique.It is proven that Logistic's equation does not have nontrivial periodic solutions of period 3.
出处
《华南理工大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
1998年第8期97-101,共5页
Journal of South China University of Technology(Natural Science Edition)
关键词
微分差分方程
非平凡周期解
LOGISTIC方程
differential_difference equation
non_trivial periodic solution
Logistic's equation
