一类中立型差分方程的正解  

POSITIVE SOLUTIONS TO A CLASS OF NEUTRAL DIFFERENCE EQUATIONS

作　　者：刘安[1] 熊万民[2] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008 [2]常德师范学院数学系,湖南常德415000

出　　处：《常德师范学院学报（自然科学版）》2000年第3期8-11,共4页Journal of Changde Teachers University

摘　　要：首先将下述中立型差分方程Δ(xn-xn -k) +qnxn -l=0　 ( )的所有正解分成四大类型 ,然后给出各类正解存在的充要条件或充分条件。In this paper, the neutral difference equations in the form Δ(x n-x n-k )+q nx n-l =0 (*) is considered,and this paper shows that all positive solutions to Eqs.(*)can be divided into four types,then obtain suiffcient and necessary conditions for the existence of each type positive solutions respectively.

关 键 词：中立型 正解 分类 差分方程 振动性 

分 类 号：O175.7[理学—数学]