Solution and Attractivity for a Rational Recursive Sequence

被引：85

作者：

Elsayed, E. M. ^{[1
,2
]}

机构：

[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

[2] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2011年 / 2011卷

关键词：

DIFFERENCE EQUATION XN+1; GLOBAL ATTRACTIVITY; QUALITATIVE BEHAVIOR; PERIODIC CHARACTER; POSITIVE SOLUTIONS; DYNAMICS;

D O I：

10.1155/2011/982309

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the behavior of solution of the nonlinear difference equation x(n+1) = ax(n-1) + bx(n)x(n-1)/(cx(n) + dx(n-2)), n = 0, 1, ... , where the initial conditions x(-2), x(-1), x(0) are arbitrary positive real numbers and a, b, c, d are positive constants. Also, we give specific form of the solution of four special cases of this equation.

引用

页数：17

共 46 条

[1] Dynamics of a rational difference equation [J].