一类高阶有理差分方程非负解的收敛性(英文)  

Convergence of the Non-negative Solutions of a Higher-order Rational Difference Equation

作　　者：王琦[1] 陈占和[2] 张更容[2] 

机构地区：[1]广西科技大学理学院,广西柳州545006 [2]广西大学数学与信息科学学院,广西南宁530004

出　　处：《广西科学》2013年第2期88-90,共3页Guangxi Sciences

基　　金：supported by NSF of China(No.11161029,No.11261005);NSF of Guangxi(No.2010GXSFA013109,No.2012GXSFA276040);NSF of Guangxi University of Technology(No.1166218)

摘　　要：针对高阶有理差分方程xn+1=α+(∑i=1 k+1 B2i-1xn-2i+1)/(A+xn-2l),n=0,1,…其中k,l为非负整数,α是正数,A,Bi,i=1,2,…,k+1和初始条件是非负数,给出该方程的每个非负解都收敛于方程的一个二周期解的一个充分条件.This paper is concerned with the following higher-order rational difference equation：xn＋1=a＋∑k＋1i-1B2i-1xn-2i＋1/A＋xn-2i,n=0,1,… where k and l are non-negative integers, the parameter a is positive real number, the parameters A,Bi,i=1,2,…,k＋1 and the initial conditions are non-negative real numbers. We give the sufficient conditions, under which every non-negative solution of the equation converges to a period-two solution of the equation.

关 键 词：差分方程 收敛性 二周期解 有界性 

分 类 号：O175[理学—数学]