scholarly journals Solution for Rational Systems of Difference Equations of Order Three

Mathematics ◽  
2016 ◽  
Vol 4 (3) ◽  
pp. 53 ◽  
Author(s):  
Mohamed El-Dessoky
Keyword(s):  
Difference Equations ◽  
Rational Systems

scholarly journals On some rational systems of difference equations

2017 ◽  
Vol 11 (01) ◽  
pp. 49-72 ◽  
Author(s):  
M. M. El-Dessoky ◽  
A. Khaliq ◽  
A. Asiri
Keyword(s):  
Difference Equations ◽  
Rational Systems

Dynamics and Behaviour of Some Rational Systems of Difference Equations

2016 ◽  
Vol 13 (11) ◽  
pp. 8583-8599 ◽  
Author(s):  
Faris Alzahrani ◽  
Abdul Khaliq ◽  
E. M Elsayed
Keyword(s):  
Difference Equations ◽  
Rational Systems

On a Third Order Rational Systems of Difference Equations

2014 ◽  
Vol 0 (0) ◽  
Author(s):  
N. Touafek ◽  
E.M. Elsayed
Keyword(s):  
Difference Equations ◽  
Initial Conditions ◽  
Real Numbers ◽  
Third Order ◽  
Rational Systems

Abstract In this paper we investigate the form of the solutions of the following systems of difference equations of order three with a nonzero real numbers initial conditions.

scholarly journals Global Behavior of Four Competitive Rational Systems of Difference Equations in the Plane

2009 ◽  
Vol 2009 ◽  
pp. 1-34 ◽  
Author(s):  
M. Garić-Demirović ◽  
M. R. S. Kulenović ◽  
M. Nurkanović
Keyword(s):  
Difference Equations ◽  
Stable Equilibrium ◽  
Equilibrium Points ◽  
Saddle Points ◽  
Global Behavior ◽  
Global Dynamics ◽  
Asymptotically Stable ◽  
Rational Systems ◽  
Global Stable Manifolds ◽  
Basins Of Attractions

We investigate the global dynamics of solutions of four distinct competitive rational systems of difference equations in the plane. We show that the basins of attractions of different locally asymptotically stable equilibrium points are separated by the global stable manifolds of either saddle points or nonhyperbolic equilibrium points. Our results give complete answer to Open Problem 2 posed recently by Camouzis et al. (2009).

On the solutions and periodic nature of some systems of difference equations

2014 ◽  
Vol 07 (06) ◽  
pp. 1450067 ◽  
Author(s):  
E. M. Elsayed
Keyword(s):  
Difference Equations ◽  
Initial Conditions ◽  
Real Numbers ◽  
Rational Systems

In this paper, we consider the solution of the following rational systems of difference equations: [Formula: see text] where initial conditions are nonzero real numbers.

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