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On the Recursive Sequence x_{n + 1} = {{ \mgreek{g} x_{n-1} + \mgreek{d} x_{n-2}} \over {Cx_{n-1} + Dx_{n-2}}} |
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| Authors: | S Kalabu?i? MRS Kulenovi? |
| Institution: | 1. Department of Mathematics , University of Sarajevo , 71000, Sarajevo, Bosnia and Hercegovina;2. Department of Mathematics , University of Rhode Island , 02881-0816, Kingston, RI, USA |
| Abstract: | 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. |
| Keywords: | Difference equation Invariant intervals Local asymptotic stability Period-two solutions Semicycles 39A10 39A11 |