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 Dynamics of a System of Higher Order Difference Equations with Quadratic Terms

2021 ◽  
Author(s):  
Erkan Taşdemir
Keyword(s):  
Asymptotic Stability ◽  
Rate Of Convergence ◽  
Difference Equations ◽  
Global Asymptotic Stability ◽  
Higher Order ◽  
Related System ◽  
Order Difference ◽  
Initial Values

In this paper we investigate the global asymptotic stability of following system ofhigher order difference equations with quadratic terms:xn+1=A+Byn/yn−m^2, yn+1=A+Bxn/xn−m^2, where A and B are positive numbers and the initial values are positive numbers.We also study the boundedness, rate of convergence and oscillation behaviour of thesolutions of related system.

scholarly journals Dynamics of System of Higher Order Difference Equations with Quadratic Terms

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

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

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 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.

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