On non-Archimedean recurrence equations and their applications
Dynamical Systems
2016-01-06 v1 Functional Analysis
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 -adic Gibbs measures. Note that our results also provide the existence of unique solutions of nonlinear functional equations as well.
Cite
@article{arxiv.1402.4209,
title = {On non-Archimedean recurrence equations and their applications},
author = {Farrukh Mukhamedov and Hasan Akin},
journal= {arXiv preprint arXiv:1402.4209},
year = {2016}
}
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14 pages