scholarly journals Representation of solutions of a two-dimensional system of difference equations

2020 ◽  
Vol 21 (1) ◽  
pp. 203
Author(s):  
Y. Halim ◽  
A. Khelifa ◽  
M. Berkal
Keyword(s):  
Difference Equations ◽  
Dimensional System ◽  
Two Dimensional ◽  
System Of Difference Equations ◽  
Representation Of Solutions ◽  
Two Dimensional System

scholarly journals On the Global Asymptotic Stability of A Two Dimensional System of Difference Equations with Quadratic Terms

2020 ◽  
Author(s):  
Erkan Taşdemir
Keyword(s):  
Asymptotic Stability ◽  
Rate Of Convergence ◽  
Difference Equations ◽  
Global Asymptotic Stability ◽  
Dimensional System ◽  
Two Dimensional ◽  
System Of Difference Equations ◽  
Related System ◽  
Initial Values ◽  
Two Dimensional System

In this paper, we study the global asymptotically stability of following system of difference equations with quadratic terms: x_{n+1}=A+B((y_{n})/(y_{n-1}²)),y_{n+1}=A+B((x_{n})/(x_{n-1}²)) where A and B are positive numbers and the initial values are positive numbers. We also investigate the rate of convergence and oscillation behaviour of the solutions of related system.

scholarly journals Oscillatory criteria for two-dimensional system of difference equations

2011 ◽  
Vol 48 (1) ◽  
pp. 153-163
Author(s):  
Zdeněk Opluštil
Keyword(s):  
Difference Equations ◽  
Dimensional System ◽  
Two Dimensional ◽  
Linear Difference Equations ◽  
System Of Difference Equations ◽  
Oscillation Criteria ◽  
Order Linear ◽  
First Order ◽  
Two Dimensional System

Abstract Some oscillation criteria are established for two-dimensional systems of first order linear difference equations.

Effect of partial ordering of a two-dimensional system of scatterers on the anisotropy of its kinetic coefficients

1998 ◽  
Vol 32 (10) ◽  
pp. 1116-1118
Author(s):  
N. S. Averkiev ◽  
A. M. Monakhov ◽  
A. Yu. Shik ◽  
P. M. Koenraad
Keyword(s):  
Partial Ordering ◽  
Dimensional System ◽  
Two Dimensional ◽  
Kinetic Coefficients ◽  
Two Dimensional System
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