scholarly journals Eigenvalue Characterization of a System of Difference Equations

2004 ◽  
Vol 7 (1) ◽  
pp. 1-46 ◽  
Author(s):  
R. P. Agarwal ◽  
D. O'Regan ◽  
P. J. Y. Wong
Keyword(s):  
Difference Equations ◽  
System Of Difference Equations

scholarly journals Characterization of Homogeneous System of Difference Equations

2021 ◽  
Vol 32 (1) ◽  
pp. 25
Author(s):  
Huda Hussein Abed ◽  
Bassam Jabbar Al-Asadi
Keyword(s):  
Difference Equations ◽  
Homogeneous System ◽  
Second Order ◽  
System Of Difference Equations ◽  
The Matrix

In this paper, we introduced new definitions of the system of homogenous difference equations of order two; namely homogenous and semi homogenous system, where we focused on finding the equivalents for these definitions of order one as well as of order greater than one for the system of difference equations of the second order and given some examples. We also a given formula to find the power of the matrix that we used in this research.

scholarly journals On the Solutions of the System of Difference Equationsxn+1=max{A/xn,yn/xn},yn+1=max{A/yn,xn/yn}

2009 ◽  
Vol 2009 ◽  
pp. 1-11 ◽  
Author(s):  
Dağistan Simsek ◽  
Bilal Demir ◽  
Cengiz Cinar
Keyword(s):  
Difference Equations ◽  
Initial Conditions ◽  
Real Numbers ◽  
System Of Difference Equations ◽  
Positive Real

We study the behavior of the solutions of the following system of difference equationsxn+1=max⁡{A/xn,yn/xn},yn+1=max⁡{A/yn,xn/yn}where the constantAand the initial conditions are positive real numbers.

scholarly journals On the Behavior of Solutions of the System of Rational Difference Equations: , , and

2011 ◽  
Vol 2011 ◽  
pp. 1-12 ◽  
Author(s):  
Abdullah Selçuk Kurbanli
Keyword(s):  
Difference Equations ◽  
System Of Difference Equations ◽  
Rational Difference Equations

We investigate the solutions of the system of difference equations , , , where .

scholarly journals On the Global Asymptotic Stability of a Second-Order System of Difference Equations

2008 ◽  
Vol 2008 ◽  
pp. 1-12 ◽  
Author(s):  
Ibrahim Yalcinkaya
Keyword(s):  
Asymptotic Stability ◽  
Difference Equations ◽  
Global Asymptotic Stability ◽  
Second Order ◽  
Order System ◽  
Sufficient Condition ◽  
System Of Difference Equations ◽  
Initial Values

A sufficient condition is obtained for the global asymptotic stability of the following system of difference equations where the parameter and the initial values (for .

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