一类迭代函数方程的平稳解

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-05-27 DOI:10.1007/s00010-024-01085-x

Weiwei Shi, Xiao Tang

引用次数: 0

摘要

通过对已知函数的导数施加一些条件，利用纤维收缩定理，我们证明了一类迭代函数方程的 \(C^1\) 解的存在性，该方程涉及未知函数的迭代和一个非线性项。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Smooth solutions of a class of iterative functional equations

Imposing some conditions on derivatives of the known functions, using the Fiber Contraction Theorem we prove the existence of \(C^1\) solutions of a class of iterative functional equations which involves iterates of the unknown functions and a nonlinear term.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Aequationes Mathematicae MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： aequationes mathematicae is an international journal of pure and applied mathematics, which emphasizes functional equations, dynamical systems, iteration theory, combinatorics, and geometry. The journal publishes research papers, reports of meetings, and bibliographies. High quality survey articles are an especially welcome feature. In addition, summaries of recent developments and research in the field are published rapidly.