Document Type

Article

Date of Original Version

10-8-2013

Abstract

Consider the difference equation xn+1 = f(xn, …, xn-k), n = 0, 1, …, where l, 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 = Σki = 1–l gixn-1, n = 0, 1, . . . , where l, k ∈ {1, 2, . . .} and the functions gi : ℝk+l → ℝ. We give some necessary and sufficient conditions for the equation to have a minimal period-two solution when l = 1.

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Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.

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