摘要
文章利用锥上不动点定理研究了一类时滞差分方程△y(i)=y(i)[a(i)g(y(i))-f(i,y(i-т1(i)),…,y(i-тn(i)))],i∈Z正周期解的存在性,得到了其正周期解存在的充分性定理,推广了有关结论。
By using the fixed point theorem on cone, the existence of positive periodic solution of a class of delay differ- ence equation △y（i）=y（i）[a（i）g（Y（i））-（i,y（i-τ1（i））,…,y（i-τn（i）））],i∈Z is investigated. A sufficient condition for the existence of positive periodic solution of the equation is given and some importan results are generalized.
出处
《四川理工学院学报（自然科学版）》
CAS
2009年第1期1-4,共4页
Journal of Sichuan University of Science & Engineering(Natural Science Edition)
基金
国家自然科学基金资助项目(10461003)
关键词
差分方程
全连续算子
锥
不动点定理
difference equation
completely continuous operator
cone
fixed point theorem
