The global attractivity of the rational difference equation 𝑦_ {𝑛}= 1+\frac {𝑦_ {𝑛-𝑘}} 𝑦_ {𝑛-𝑚}

K Berenhaut, J Foley, S Stević - Proceedings of the American Mathematical …, 2007 - ams.org
… The study of properties of rational difference equations has been an area of intense interest
in recent years; cf. [7], [8] and the references therein. In [9], the authors proved that if (k, m) = (…

Global attractivity in a quadratic-linear rational difference equation with delay

CM Kent, H Sedaghat - Journal of Difference Equations and …, 2009 - Taylor & Francis
… the global behaviour of non-negative solutions of the following rational difference equation
with … insights – and significant challenges – into the dynamics of rational difference equations. …

[PDF][PDF] Global attractivity of a rational difference equation of order ten

A Khaliq, F Alzahrani, EM Elsayed - Journal of Nonlinear Sciences …, 2016 - researchgate.net
In this paper, we study qualitative properties and periodic nature of the solutions of the difference
equation xn+ 1= axn-4+ bx2 n-4 cxn-4+ dxn-9, n= 0, 1,.., where the initial conditions x-9…

When does local asymptotic stability imply global attractivity in rational equations?

E Camouzis, G Ladas - Journal of Difference Equations and …, 2006 - Taylor & Francis
… of third order rational difference equations which we have presented so far with the property
that LAS of an equilibrium point does not imply its GA, are all special cases of the equation

The global attractivity of the rational difference equation 𝑦_ {𝑛}= 𝐴+(\frac {𝑦_ {𝑛-𝑘}} 𝑦_ {𝑛-𝑚})^{𝑝}

K Berenhaut, J Foley, S Stević - Proceedings of the American Mathematical …, 2008 - ams.org
… Stevic, The global attractivity of the rational difference equation yn = 1+ … Convergence of
solutions to equation (1) In this section, we study the global attractivity of the positive solutions of …

[PDF][PDF] Global attractivity of a rational difference equation of order twenty

S Sadiq, M Kalim - International Journal of Advanced and Applied …, 2018 - academia.edu
… Recently great interest is developed in studying difference equation systems. The reason is
… qualitative analysis of rational difference equations. Difference equations are very simple in …

Global attractivity of a higher order nonlinear difference equation

YH Su, WT Li - Journal of Difference Equations and Applications, 2005 - Taylor & Francis
… the global attractivity of all positive solutions of equation (1.1). Our results show that the unique
positive equilibrium y of equation (1.1) is a globalrational difference equation. Journal of …

On the global attractivity of difference equation of higher order

EM Elabbasy, EM Elsayed - Carpathian Journal of Mathematics, 2008 - JSTOR
… the global attractivity, boundedness character and the periodic nature of nonlinear difference
equations. … character of solutions of the nonlinear, third order, rational difference equation

[PDF][PDF] Global attractivity and the periodic nature of third order rational difference equation

EM Elsayed, F Alzahrani… - Journal of Computational …, 2017 - eudoxuspress.com
Rational difference equations have been studied by several authors. Especially there …
attractivity of the solutions of such equations. For more results for the rational difference equations, …

[PDF][PDF] On the global attractivity of two nonlinear difference equations

EME Zayed, MA El-Moneam - J. Math. Sci, 2011 - academia.edu
… We believe that the nonlinear rational difference equations are of paramount importance in
… In this section, we investigate the global attractivity character of solutions of the difference