Document Type
Article
Date of Original Version
12-1-2013
Abstract
Consider the difference equation x n + 1 = f (x n,⋯ xn -k), n = 0, 1, ⋯ where k ∈ { 1, 2⋯ } and the initial conditions are real numbers. We investigate the existence and nonexistence of the minimal period-two solution of this equation when it can be rewritten as the nonautonomous linear equation xn +l = ∑ i = 1 - l k g i x n + i , n = 0, 1, ⋯ where l, k ∈ { 1, 2⋯ } and the functions g i: R k + l → R. We give some necessary and sufficient conditions for the equation to have a minimal period-two solution when l = 1. © 2013 E. J. Janowski and M. R. S. Kulenović.
Publication Title, e.g., Journal
Discrete Dynamics in Nature and Society
Volume
2013
Citation/Publisher Attribution
Janowski, E. J., and M. R. Kulenović. "Existence of a period-two solution in linearizable difference equations." Discrete Dynamics in Nature and Society 2013, (2013). doi: 10.1155/2013/421545.
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.