Admissibility via Induced Delay Equations

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-07-02 DOI:10.1007/s12346-024-01086-w

Luís Barreira, Claudia Valls

引用次数: 0

Abstract

We give a new characterization of the existence of an exponential dichotomy for the class of induced delay equations, introduced recently in Barreira and Valls (JDE 391: 396–484, 2024), in terms of the admissibility of a new pair of Banach spaces. Moreover, as a consequence, we give a new application of the theory of induced delay equations to obtain results for nonautonomous delay equations via autonomous equations.

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通过诱导延迟方程进行受理

我们从一对新的巴拿赫空间的可接受性的角度，给出了最近在巴雷拉和瓦尔斯（JDE 391: 396-484, 2024）中提出的一类诱导延迟方程存在指数二分法的新特征。此外，作为结果，我们给出了诱导延迟方程理论的一个新应用，即通过自治方程获得非自治延迟方程的结果。

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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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.