On the recursive sequence xn+1 = γxn-1+δxn-2/Cxn-1+Dxn-2
Date of Original Version
We investigate the global character of solutions of the equation in the title with positive parameters and positive initial conditions. We obtain results about the global attractivity of the equilibrium, the existence and attractivity of the period-two solution and the semicycles.
Publication Title, e.g., Journal
Journal of Difference Equations and Applications
Kalabušić, S., and M. R. Kulenović. "On the recursive sequence xn+1 = γxn-1+δxn-2/Cxn-1+Dxn-2." Journal of Difference Equations and Applications 9, 8 (2003): 701-720. doi: 10.1080/1023619021000042171.