论文信息 - On the recursive sequence x n+1 =AΠ K i=l' x n -2 j -1 / B + C Π k-l i=l' x n -2 i

On the recursive sequence x n+1 =AΠ K i=l' x n -2 j -1 / B + C Π k-l i=l' x n -2 i

The aim of this work is to investigate the global stability, periodic nature, oscillation and the boundedness of solutions of the difference equation x"n"+"[email protected]?i=lkx"n"-"2"i"-"[email protected]?i=lk-1x"n"-"2"i,n=0,1,... where A,B,C are nonnegative real numbers and l,k are nonnegative integers, l

Alaa E. Hamza | R. Khalaf-Allah | A. Hamza | R. Khalaf-Allah

[1] V. Kocić,et al. Global Behavior of Nonlinear Difference Equations of Higher Order with Applications , 1993 .

[2] Stevo Stević,et al. Global stability and asymptotics of some classes of rational difference equations , 2006 .

[3] A. Hamza,et al. Global Behavior of a Higher Order Difference Equation , 2007 .

[4] Deming Zhu,et al. Global asymptotic stability for two recursive difference equations , 2004, Appl. Math. Comput..

[5] Xiaofan Yang. On the global asymptotic stability of the difference equation xn=(xn-1xn-2+xn-3+a)/(xn-1+xn-2xn-3+a) , 2005, Appl. Math. Comput..

[6] E. Camouzis,et al. Dynamics of Second Order Rational Difference Equations: With Open Problems and Conjectures , 2001 .

[7] Tim Nesemann. Positive nonlinear difference equations: some results and applications , 2001 .