一类脉冲时滞微分方程的周期正解的存在性

Existence of Positive Periodic Solution for A Class of Impulsvie Delay Equations

利用Brouwer不动点定理,得到一阶脉冲时滞微分方程y(t)=y(t)[p(t)-(Q(t)yn(t-aω))/(R+ym(t-aω))-λ(t)y(t)],t≠tk,y(tk+)=(1+bk)y(tk),k∈N,存在ω-周期正解y*(t)的充分条件,推广了已有文献中的相关结果.

Using a fixed point theorem of Brouwer,we show the existence of periodic positive solution of first order impulsive delay differential equation：y（t）=y（t）[p（t）-（Q（t）yn（t-aω））/（R＋ym（t-aω））-λ（t）y（t）],t≠tk,y（tk＋）=（1＋bk）y（tk）,k∈N, the result extends the corresponding known results.