On the Difference Equation xn+1 = xnxn-2-1

被引:14
|
作者
Kent, Candace M. [2 ]
Kosmala, Witold [3 ]
Stevic, Stevo [1 ]
机构
[1] Serbian Acad Sci, Math Inst, Beograd 11000, Serbia
[2] Virginia Commonwealth Univ, Dept Math & Appl Math, Richmond, VA 23284 USA
[3] Appalachian State Univ, Dept Math Sci, Boone, NC 28608 USA
关键词
RECURSIVE SEQUENCE XN+1; GLOBAL STABILITY; BOUNDEDNESS CHARACTER; NONTRIVIAL SOLUTIONS; ASYMPTOTICS; CONVERGENCE; X(N+1);
D O I
10.1155/2011/815285
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The long-term behavior of solutions of the following difference equation: x(n+1) = x(n)x(n-2) - 1, n is an element of N-0, where the initial values x (2), x (1), x(0) are real numbers, is investigated in the paper.
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页数:15
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