通过可接受性实现三角形系统的二分法

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-01-13 DOI:10.1007/s10884-023-10335-6

Davor Dragičević, Kenneth J. Palmer

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引用次数: 0

摘要

在本文中，我们研究了线性差分方程三角形系统的指数二分性质与其相关对角系统之间的关系。我们利用可接受性对 Battelli 等人 (J Differ Equ Appl 28:1054-1086, 2022) 中的结果给出了新的简短证明，我们还建立了新的必要条件和充分条件，即当三角形系统具有二分性时，对角线系统也具有二分性。最后，我们给出了微分方程的类似结果。

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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Dichotomies for Triangular Systems via Admissibility

In this article we study the relationship between the exponential dichotomy properties of a triangular system of linear difference equations and its associated diagonal system. We use admissibility to give new shorter proofs of results obtained in Battelli et al. (J Differ Equ Appl 28:1054–1086, 2022) and we also establish new necessary and sufficient conditions that the diagonal system have a dichotomy when the triangular system has a dichotomy. We conclude with analogous results for differential equations.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.