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arXiv · 1402.4209

On non-Archimedean recurrence equations and their applications

Farrukh Mukhamedov·Hasan Akin
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Abstract

In the present paper we study stability of recurrence equations (which in particular case contain a dynamics of rational functions) generated by contractive functions defined on an arbitrary non-Archimedean algebra. Moreover, multirecurrence equations are considered. We also investigate reverse recurrence equations which have application in the study of $p$-adic Gibbs measures. Note that our results also provide the existence of unique solutions of nonlinear functional equations as well.

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Farrukh Mukhamedov, Hasan Akin. 2014-02-18. On non-Archimedean recurrence equations and their applications. https://doi.org/10.1016/j.jmaa.2014.10.046

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