Existence of a Period-Two Solution in Linearizable Difference Equations

E. J. Janowski and M. R. S. Kulenović

Discrete Dynamics in Nature and Society, 2013, vol. 2013, 1-9

Abstract:

Consider the difference equation where 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 , where and the functions . We give some necessary and sufficient conditions for the equation to have a minimal period-two solution when .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:421545

DOI: 10.1155/2013/421545

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