On the Dynamics of the Recursive Sequence
Authors : Saime Zengin, Ilhan Öztürk, Fatma Bozkurt
Pages : 53-59
View : 12 | Download : 5
Publication Date : 2010-03-08
Article Type : Other
Abstract :Our aim in this paper is to investigate the local stability of the positive solutions of the difference equation y n+1 = [(α-y n )/ (βy n-1 )] − [(γ-y n-1 )/ βy n ] , n=0,1,2,..., where the initial conditions y −1 , y 0 are arbitrary positive real numbers such that y n ≠ 0 for n= −1,0,1,..., , α, β, γ ε (0,∞) and α > γ. Furthermore we investigate the periodic nature of the mentioned difference equation. Key Words: Difference Equations, Local Stability, Period-two Solutions.Keywords :