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On the period five trichotomy of all positive solutions of xn+1=(p+xn−2)/xn |
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| Authors: | E. Camouzis R. DeVault |
| Affiliation: | a Department of Mathematics, The American College of Greece, Deree College, Gravias 6, 15342 Aghia Paraskevi, Athens, Greece b Department of Mathematics, Northwestern State University of Louisiana, Natchitoches, LA 71497, USA c Department of Mathematical Sciences, Appalachian State University, Boone, NC 28608, USA |
| Abstract: | We study the behavior of all positive solutions of the difference equation in the title, where p is a positive real parameter and the initial conditions x−2,x−1,x0 are positive real numbers. For all the values of the positive parameter p there exists a unique positive equilibrium x? which satisfies the equation  |
| Keywords: | Difference equation Boundedness Global stability Periodic solution |
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