Hammerstein积分差分方程的单调性和离散性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-01-01 DOI:10.3934/jcd.2022023

Magdalena Nockowska-Rosiak, C. Pötzsche

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引用次数: 1

摘要

本文给出了向量值Hammerstein积分算子在紧域上的单调性、亚齐性和凹性的充分条件，以及这些性质在退化核型数值离散化下的持久性。这对Hammerstein积分差分方程的动力学有直接的影响，并允许推导局部-全局稳定性原理。

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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Monotonicity and discretization of Hammerstein integrodifference equations

The paper provides sufficient conditions for monotonicity, subhomogeneity and concavity of vector-valued Hammerstein integral operators over compact domains, as well as for the persistence of these properties under numerical discretizations of degenerate kernel type. This has immediate consequences on the dynamics of Hammerstein integrodifference equations and allows to deduce a local-global stability principle.

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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.