Periodic solutions to a third-order conditional difference equation over the integers
Summary: We study a third-order conditional difference equation which is a generalization from the literature. We investigate this equation by transforming it into a first-order system. Finally it is proved that the equation has no period-two (or three) integer solutions. Besides, its all period-four (and five) integer solutions are derived under appropriate rational parameters.
third-order conditional difference equation
scientific article; zbMATH DE number 5999659
scientific article