含有多个滞量的微分差分方程周期解的存在性

The existence of the periodic solution of the differential difference equation with many stagnant variables

本文给出了比ＫａｐｐｌｅｍＪＬ和温立华等人对Ｘ（ｔ）＝-ｇ（ｘ（ｔ），ｘ（ｔ-ｒ＿１）＋ｆ（ｘ（ｔ-ｒ＿２））］一般系统更广泛一类的泛函微分方程Ｘ（ｔ）＝-ｇ（ｘ（ｔ），ｘ（ｔ-τ＿１），ｘ（ｔ-τ＿２）），［ｆ（ｘ（ｔ-τ＿１））＋ｆ（ｘ（ｔ-τ＿２））］的非常数周期解存在的充分条件。

This paper discusses a move extensive system with the differential equation of func-tional analysis X(t)=一g(x(t),x(t一τ_1),x(t一τ_2)),[f(x(t一r_1))+f(x(t一r_2))] than Kapplem J.L. , Wen Lihua etc. Work in providing a periodic solution to the general system X(t)=一g(x(t),x(t一r_1)+f(x(t一r_2))] and obtains the sufficient condition to the existence of the non一eonstant vibration periodic solution in the system.