Asymptotic behavior of the positive solutions of an exponential type system of difference equations

2014 ◽  
Vol 245 ◽  
pp. 181-190 ◽  
Author(s):  
G. Papaschinopoulos ◽  
G. Ellina ◽  
K.B. Papadopoulos
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Difference Equations ◽  
Exponential Type ◽  
Type System ◽  
System Of Difference Equations

Long-term behavior of positive solutions of an exponentially self-regulating system of difference equations

2017 ◽  
Vol 10 (03) ◽  
pp. 1750045 ◽  
Author(s):  
N. Psarros ◽  
G. Papaschinopoulos ◽  
K. B. Papadopoulos
Keyword(s):  
Asymptotic Behavior ◽  
Positive Solutions ◽  
Difference Equations ◽  
Initial Conditions ◽  
System Of Difference Equations ◽  
Long Term Behavior

In this paper, we study the asymptotic behavior of the positive solutions of a system of the following difference equations: [Formula: see text] where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] are positive constants and the initial conditions [Formula: see text] and [Formula: see text] are positive numbers.

scholarly journals Asymptotic Behavior of the Solutions of System of Difference Equations of Exponential Form

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
Vu Van Khuong ◽  
Tran Hong Thai
Keyword(s):  
Asymptotic Behavior ◽  
Rate Of Convergence ◽  
Positive Solutions ◽  
Difference Equations ◽  
System Of Difference Equations ◽  
Positive Real ◽  
Exponential Form ◽  
Initial Values

The goal of this paper is to study the boundedness, the persistence, and the asymptotic behavior of the positive solutions of the system of two difference equations of exponential form: xn+1=a+be-yn+ce-xn/d+hyn, yn+1=a+be-xn+ce-yn/d+hxn, where a, b, c, d, and h are positive constants and the initial values x0, y0 are positive real values. Also, we determine the rate of convergence of a solution that converges to the equilibrium E=(x-,y-) of this system.

Existence of bounded positive solutions for a system of difference equations

2011 ◽  
Vol 218 (6) ◽  
pp. 2889-2912 ◽  
Author(s):  
Zeqing Liu ◽  
Liangshi Zhao ◽  
Shin Min Kang ◽  
Young Chel Kwun
Keyword(s):  
Positive Solutions ◽  
Difference Equations ◽  
System Of Difference Equations
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