Convergence of the Non-negative Solutions of a Higher-order Rational Difference Equation
Author(s): WANG Qi, CHEN Zhan-he, ZHANG Geng-rong
Pages: 88-90
Year: 2013 Issue: 2
Journal: Guangxi Sciences
Keyword: difference equation; convergence; period-two solution; boundedness;
Abstract: 针对高阶有理差分方程xn+1=α+(∑k+1i-1B2i-1xn-2i+l)/(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.
Pages: 88-90
Year: 2013 Issue: 2
Journal: Guangxi Sciences
Keyword: difference equation; convergence; period-two solution; boundedness;
Abstract: 针对高阶有理差分方程xn+1=α+(∑k+1i-1B2i-1xn-2i+l)/(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.
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