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 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 .

scholarly journals Periodic Solutions for a System of Difference Equations

2009 ◽  
Vol 2009 ◽  
pp. 1-9 ◽  
Author(s):  
Shugui Kang ◽  
Bao Shi
Keyword(s):  
Nonlinear Systems ◽  
Critical Point ◽  
Periodic Solutions ◽  
Difference Equations ◽  
Critical Point Theory ◽  
Existence Theorems ◽  
Point Theory ◽  
Second Order ◽  
System Of Difference Equations

This paper deals with the second-order nonlinear systems of difference equations, we obtain the existence theorems of periodic solutions. The theorems are proved by using critical point theory.

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

On a nonlinear second order system of difference equations

2013 ◽  
Vol 219 (24) ◽  
pp. 11388-11394 ◽  
Author(s):  
Stevo Stević ◽  
Mohammed A. Alghamdi ◽  
Abdullah Alotaibi ◽  
Naseer Shahzad
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Order System ◽  
System Of Difference Equations
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