Dynamics of Second Order Rational Difference Equations

2001 ◽  
Author(s):  
Mustafa R.S. Kulenovic ◽  
G. Ladas
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Rational Difference Equations

scholarly journals On the Solutions of Four Second-Order Nonlinear Difference Equations

2019 ◽  
Author(s):  
İnci Okumuş ◽  
Yüksel Soykan
Keyword(s):  
Difference Equations ◽  
Second Order ◽  
Global Behavior ◽  
Nonlinear Difference Equations ◽  
Rational Difference Equations ◽  
The Stability

This paper deals with the form, the stability character, the periodicity and the global behavior of solutions of the following four rational difference equations x_{n+1} = ((±1)/(x_{n}(x_{n-1}±1)-1)) x_{n+1} = ((±1)/(x_{n}(x_{n-1}∓1)+1)).

scholarly journals On monotone solutions of some classes of difference equations

2006 ◽  
Vol 2006 ◽  
pp. 1-9 ◽  
Author(s):  
Stevo Stevic
Keyword(s):  
Difference Equations ◽  
Present Author ◽  
Second Order ◽  
Open Problems ◽  
Rational Difference Equations ◽  
Monotone Solutions

We describe a method for finding monotone solutions of some classes of difference equations converging to the corresponding equilibria. The method enables us to confirm three conjectures posed by the present author in a talk, which are extensions of three conjectures by M. R. S. Kulenović and G. Ladas,Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures. Chapman and Hall/CRC, 2002. It is interesting that the method, in some cases, can be applied also when the parameters are variable.

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