论皮卡德- Lindelöf论证和巴拿赫-卡乔波利收缩映射原理

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED

Regular and Chaotic Dynamics Pub Date : 2025-08-11 DOI:10.1134/S1560354725040070

Alexander I. Bufetov, Ilya I. Zavolokin

引用次数: 0

摘要

本笔记的目的是提出一个简单的观察，即对收缩映射原理稍加改进，就可以恢复picard - Lindelöf定理中的精确收敛率。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the Picard – Lindelöf Argument and the Banach – Caccioppoli Contraction Mapping Principle

The aim of this note is to present a simple observation that a slight refinement of the contraction mapping principle allows one to recover the precise convergence rate in the Picard – Lindelöf theorem.

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来源期刊

Regular and Chaotic Dynamics 物理-力学

CiteScore

2.50

自引率

7.10%

发文量

审稿时长

>12 weeks

期刊介绍： Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.