摘要
研究了一类高阶中立型差分方程 Δl(xn-cnxn-m) + pnxn-k =0 ,n =N ,N+ 1,N+ 2 ,…正解的存在性和渐近性。利用Krasnoselskii不动点定理 ,给出了该类方程存在有界最终正解及当n→+∞时其解渐近趋于零的几个充分条件。
We study the asymptotic behavior and existence of positive solutions for the higher order neutral difference equation Δ l(x n-c nx n-m )+p nx n-k =0,n=N,N+1,N+2,... By using the Krasnoselskii fixed theorem, we obtain some sufficient conditions under which such an equation has a bounded and eventually positive solution which tends to zero as n→+∞.
出处
《工程数学学报》
CSCD
北大核心
2002年第3期15-20,共6页
Chinese Journal of Engineering Mathematics
基金
Jinanuniversityfundofscience(UJNN0 10 3)
关键词
高阶中立型差分方程
正解
存在性
渐近性
asymptotic behavior
existence
positive solutions
difference equations.
