一类有理差分方程的周期性和振动性  

Periodicity and Oscillation of a Rational Difference equation

作　　者：袁晓红[1] 晏兴学[1] 苏有慧[2] 

机构地区：[1]河西学院数学系,甘肃张掖734000 [2]徐州工程学院数理学院,江苏徐州221008

出　　处：《河西学院学报》2009年第2期7-13,共7页Journal of Hexi University

基　　金：甘肃省教育厅科研项目(0709-03)

摘　　要：研究了一类有理差分方程y(n+1)=pyn+y(n-k)/qyn+y(n-k),n∈N0,p,q,y-k,,y-1,y0∈[0,∞)的周期性和振动性.从而部分的证明了M.Kulenovic和G.Ladas在文[7]中提出的一个公开问题。This paper studies the periodic and oscillatory character of the difference equationYn＋1=pyn＋yn-k/qyn＋yn-k,nεN0,wherep,q≥0 are real numbers kεN,and the initial conditions y-k,…,y-1,y0 are nonnegative real numbers such that y-k orY0 or both are positive real numbers. Our results partly prove the Open Problem 6.10.17 in^[7]promoted by M. Kulenovic and G. Ladas.

关 键 词：差分方程 周期性 振动性 二周期解 

分 类 号：O175.1[理学—数学]