Dynamical properties of a class of higher-order nonlinear difference equations

作者：Liao, Maoxin^*; Tang, Xianhua; Ouyang, Zigen; Xu, Changjin

来源：Applied Mathematics and Computation, 2011, 217(12): 5476-5479.

DOI：10.1016/j.amc.2010.12.017

• Nonlinear difference equation
• Positive solution
• Equilibrium
• Convergence

In this note, we consider the dynamical properties of the following higher-order nonlinear difference equation
chi(n) = Pi(v)(i=1)(chi(beta i)(n-i) + 1) + Pi(v)(i=1)(chi(beta 1)(n-i) - 1)/Pi(v)(i=1)(chi(n-i)beta(i) + 1) - Pi(v)(i=1)(chi(beta i)(n-i) + 1) - Pi(v)(i=1)(chi(beta i)(n-i) - 1) , n = 0, 1, ...
with chi (v),chi (v+ 1), ... , chi (1)is an element of( 0,infinity), beta(1) is an element of ( 0, 1], beta(i) is an element of ( 0,+ infinity)( i = 2,3, ... , v). Our result extends and includes corresponding results in the recent literatures.

• 出版日期2011-2-15
• 单位中南大学; 南华大学