Periodic solutions of the Lyness max equation |
| |
| Authors: | J Feuer |
| |
| Institution: | Department of Mathematics and Statistics, Coastal Carolina University, PO Box 261954, Conway, SC 29528, USA |
| |
| Abstract: | We investigate the periodic nature of solutions of a “max-type” difference equation sometimes referred to as the “Lyness max” equation. The equation we consider is xn+1=max{xn,A}/xn−1, n=0,1,…, where A is a positive real parameter and the initial conditions are arbitrary positive numbers. We also present related results for a similar equation sometimes referred to as the “period 7 max” equation. |
| |
| Keywords: | Asymptotic behavior Invariant region Periodic solutions |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
