Document Type

Article

Date of Original Version

10-8-2013

DOI

10.1155/2013/421545

Abstract

Consider the difference equation � �+1 = �(�� , . . . , � �−� ), � = 0, 1, . . . , where � ∈ {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 � �+� = Σ � �=1−� � � � �−�, � = 0, 1, . . . , where �,� ∈ {1, 2, . . .} and the functions � � : R�+� → R. We give some necessary and sufficient conditions for the equation to have a minimal period-two solution when � = 1.

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

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