Global attractivity of a higher-order nonlinear difference equation

2010 ◽  
Vol 216 (3) ◽  
pp. 857-861
Author(s):  
Xiu-Mei Jia ◽  
Lin-Xia Hu
Keyword(s):  
Difference Equation ◽  
Global Attractivity ◽  
Higher Order ◽  
Nonlinear Difference Equation

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.

scholarly journals On a solvable nonlinear difference equation of higher order

2018 ◽  
Vol 42 (4) ◽  
pp. 1765-1778 ◽  
Author(s):  
Durhasan Turgut TOLLU ◽  
Yasin YAZLIK ◽  
Necati TAŞKARA
Keyword(s):  
Difference Equation ◽  
Higher Order ◽  
Nonlinear Difference Equation

scholarly journals On a Higher-Order Nonlinear Difference Equation

2010 ◽  
Vol 2010 ◽  
pp. 1-8 ◽  
Author(s):  
Bratislav D. Iričanin
Keyword(s):  
Difference Equation ◽  
Positive Solutions ◽  
Higher Order ◽  
Nonlinear Difference Equation

This paper shows that all positive solutions of a higher-order nonlinear difference equation are bounded, extending some recent results in the literature.

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