高阶中立型差分方程正解的存在性和渐近性(英文)  

Asymptotic Behavior and Existence of Positive Solutions for the Higher Order Neutral Difference Equations

作　　者：孙书荣[1] 

机构地区：[1]济南大学数学系,济南250002

出　　处：《工程数学学报》2002年第3期15-20,共6页Chinese Journal of Engineering Mathematics

基　　金：Jinanuniversityfundofscience(UJNN0 10 3)

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→+∞.

关 键 词：高阶中立型差分方程 正解 存在性 渐近性 

分 类 号：O175.7[理学—数学]