非阿基米德递推方程及其应用
On non-Archimedean recurrence equations and their applications
摘要：
在本文中，我们研究了由任意非阿基米德代数上定义的压缩函数生成的递归方程（在特定情况下包含有理函数的动力学）的稳定性。此外，多递归方程被认为是。我们还研究了在$p$ -adic Gibbs测度研究中有应用的逆递归方程。注意，我们的结果也提供了非线性函数方程的唯一解的存在性。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
