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

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.

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