Global Behavior of the Difference Equation

Hongjian Xi, Taixiang Sun, Bin Qin and Hui Wu

Abstract and Applied Analysis, 2014, vol. 2014, 1-5

Abstract:

We consider the following difference equation , where initial values and is a strictly decreasing continuous surjective function. We show the following. (1) Every positive solution of this equation converges to or for some . (2) Assume . Then the set of initial conditions such that the positive solutions of this equation converge to or is a unique strictly increasing continuous function or an empty set.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:705893

DOI: 10.1155/2014/705893

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