scholarly journals On the existence of positive solutions of higher order difference equations

1997 ◽  
Vol 10 (2) ◽  
pp. 339 ◽  
Author(s):  
P. J. Y. Wong ◽  
Ravi P. Agarwal
Keyword(s):  
Positive Solutions ◽  
Difference Equations ◽  
Higher Order ◽  
Order Difference ◽  
Existence Of Positive Solutions

Existence of Positive Solutions for a Class of Higher-Order Neutral Delay Difference Equations

2011 ◽  
Vol 50-51 ◽  
pp. 761-765
Author(s):  
Dong Hua Wang ◽  
Yu Huan Cui ◽  
Pu Yu Hao
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Difference Equations ◽  
Higher Order ◽  
Sufficient Condition ◽  
Neutral Delay ◽  
Existence Of Positive Solutions ◽  
Delay Difference Equations ◽  
Delay Difference

In this paper, a class of higher-order neutral delay difference equations is investigated. Some sufficient condition of the asymptotic behavior and existence of positive solutions for the equations are obtained. At last, we give their applications to some more general equations.

scholarly journals Global Behavior of Two Families of Nonlinear Symmetric Difference Equations

2010 ◽  
Vol 2010 ◽  
pp. 1-15 ◽  
Author(s):  
Wanping Liu ◽  
Xiaofan Yang ◽  
Luxing Yang
Keyword(s):  
Asymptotic Stability ◽  
Recent Result ◽  
Positive Solutions ◽  
Difference Equations ◽  
Global Asymptotic Stability ◽  
Exponential Convergence ◽  
Higher Order ◽  
The Other ◽  
Global Behavior ◽  
Order Difference

We mainly investigate the global asymptotic stability and exponential convergence of positive solutions to two families of higher-order difference equations, one of which was recently studied in Stević's paper (2010). A new concise proof is given to a quite recent result by Stević and analogous parallel result of the other inverse equation, which extend related results of Aloqeili (2009), Berenhaut and Stević (2007), and Liao et al. (2009).

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