scholarly journals Global Behavior of a Higher-Order Nonlinear Difference Equation with Many Arbitrary Multivariate Functions

2019 ◽  
Vol 9 (4) ◽  
pp. 643-650
Author(s):  
Wen-Xiu Ma
Keyword(s):  
Difference Equation ◽  
Higher Order ◽  
Nonlinear Difference Equation ◽  
Global Behavior ◽  
Multivariate Functions

scholarly journals Boundedness and Global Attractivity of a Higher-Order Nonlinear Difference Equation

2010 ◽  
Vol 2010 ◽  
pp. 1-17
Author(s):  
Xiu-Mei Jia ◽  
Wan-Tong Li
Keyword(s):  
Difference Equation ◽  
Global Attractor ◽  
Positive Solutions ◽  
Local Stability ◽  
Global Attractivity ◽  
Initial Conditions ◽  
Higher Order ◽  
Nonlinear Difference Equation ◽  
Positive Equilibrium ◽  
Prime Period

We investigate the local stability, prime period-two solutions, boundedness, invariant intervals, and global attractivity of all positive solutions of the following difference equation: , , where the parameters and the initial conditions . We show that the unique positive equilibrium of this equation is a global attractor under certain conditions.

Sign in / Sign up

Export Citation Format

Share Document