Two-sided delay-difference equations and evolution maps

IF 0.9 3区数学 Q2 MATHEMATICS

Aequationes Mathematicae Pub Date : 2024-09-14 DOI:10.1007/s00010-024-01121-w

Luís Barreira, Claudia Valls

引用次数: 0

Abstract

We establish the equivalence of hyperbolicity and of two other properties for a two-sided linear delay-difference equation and its evolution map. These two properties are the admissibility with respect to various pairs of spaces, and the Ulam–Hyers stability of the equation, again with respect to various spaces. This gives characterizations of important properties of a linear dynamical system in terms of corresponding properties of the autonomous dynamical system determined by the associated evolution map.

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双侧延迟差分方程和演化图

我们为双面线性延迟-差分方程及其演化图建立了双曲性和另外两个性质的等价性。这两个性质是相对于不同空间对的可接受性和方程的乌兰-希尔斯稳定性（同样相对于不同空间）。这给出了线性动力系统的重要特性，即由相关演化图决定的自主动力系统的相应特性。

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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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.