摘要
研究了方程x(t)=─f(x(t),x(t─r_1),(t─r_2))(A)非常数周期解的存在性。证明了在某些条件下,方程(A)有以4r_1/(1+4n)(n为非负整数)为周期的非常数振动的周期解。
In this paper,the authors in vestigated the existence of non-constant periodicsolutions of the equation(A):x(t)=─f(x(t), x(t─r_1), x(t─r_2)),and proved that undercertain conditions,(A)has non-constant oscillatory periodic solutions with period 4ri/(1+4n) (nsome nonnegative integer).
出处
《四川大学学报(自然科学版)》
CSCD
1994年第4期452-459,共8页
Journal of Sichuan University(Natural Science Edition)
关键词
振动性
非常数周期解
微分差分方程
differential difference equation
oscillating property
non- constant periodicsolution
orbit