Global Dynamics of a Third-Order Rational Difference Equation

Mehmet Gümüş

Abstract


In this paper, we will investigate the global dynamics of the following non-linear difference equation

x(n+1)=Ax(n-2)/B+Cx(n)^p(1)x(n-1)^p(2) ,
where the parameters are non-negative numbers and the initial values are non-negative numbers.

Keywords


Difference equation, Global stability, Recursive sequence, Equilibrium point

Full Text:

PDF


DOI: http://dx.doi.org/10.7212%2Fzkufbd.v8i2.1339

© 2011 Karaelmas Fen ve Mühendislik Dergisi