广西科学2013，Vol.20Issue(2)：88-90,3.
一类高阶有理差分方程非负解的收敛性
Convergence of the Non-negative Solutions of a Higher-order Rational Difference Equation
摘要
Abstract
This paper is concerned with the following higher-order rational difference equation:xn+1=α+(∑k+1i-1B2i-1xn-2i+l)/(A+xn-2l),n =0,1,…where k and l are non-negative integers,the parameter α 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Key words
difference equation/ convergence/ period-two solution/ boundedness分类
数理科学引用本文复制引用
王琦,陈占和,张更容..一类高阶有理差分方程非负解的收敛性[J].广西科学,2013,20(2):88-90,3.基金项目
This work was supported by NSF of China(No.11161029,No.11261005),NSF of Guangxi (No.2010GXSFA013109,No.2012GXSFA276040),NSF of Guangxi University of Technology (No.1166218). （No.11161029,No.11261005）
