scholarly journals Existence and global attractivity of periodic solutions in a higher order difference equation

2018 ◽  
pp. 91-110 ◽  
Author(s):  
Chuanxi Qian ◽  
Justin Smith
Keyword(s):  
Difference Equation ◽  
Periodic Solutions ◽  
Global Attractivity ◽  
Higher Order ◽  
Order Difference ◽  
Order Difference Equation

scholarly journals Multiplicity of Periodic Solutions for a Higher Order Difference Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Ronghui Hu
Keyword(s):  
Difference Equation ◽  
Periodic Solutions ◽  
Higher Order ◽  
Critical Groups ◽  
Order Difference ◽  
Reduction Methods ◽  
Order Difference Equation

We study a higher order difference equation. By Lyapunov-Schmidt reduction methods and computations of critical groups, we prove that the equation has fourM-periodic solutions.

Anti-periodic solutions for a higher order difference equation with p-Laplacian

2017 ◽  
Vol 23 (2) ◽  
Author(s):  
Lingju Kong ◽  
Jacob Parsley ◽  
Kaitlin Rizzo ◽  
Nicholas Russell
Keyword(s):  
Difference Equation ◽  
Periodic Solutions ◽  
Higher Order ◽  
Order Difference ◽  
Order Difference Equation

AbstractA higher order difference equation is studied. The equation is defined on

scholarly journals Global Attractivity of a Higher-Order Difference Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
R. Abo-Zeid
Keyword(s):  
Difference Equation ◽  
Global Stability ◽  
Global Attractivity ◽  
Higher Order ◽  
Real Numbers ◽  
Positive Real ◽  
Order Difference ◽  
Order Difference Equation ◽  
Admissible Solutions ◽  
The Difference

The aim of this work is to investigate the global stability, periodic nature, oscillation, and the boundedness of all admissible solutions of the difference equationxn+1=Axn-2r-1/(B-C∏i=lkxn-2i), n=0,1,2,…whereA,B,Care positive real numbers andl,r,kare nonnegative integers, such thatl≤k.

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