具有可变系数的阻尼线性振荡器的最佳乌拉姆常数

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-09-24 DOI:10.1016/j.jmaa.2024.128908

Douglas R. Anderson , Masakazu Onitsuka , Donal O'Regan

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引用次数: 0

摘要

相关的里卡蒂方程用于研究以阻尼线性振荡器为模型的非自治线性微分方程的乌拉姆稳定性。特别是，推导出了这些方程的最佳（最小）乌拉姆常数。这些稳健的结果适用于解会在有限时间内炸毁的方程，以及解全局存在于 (-∞,∞) 上的方程。本文列举了一些非微观示例，以突出主要结果。

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Best Ulam constants for damped linear oscillators with variable coefficients

An associated Riccati equation is used to study the Ulam stability of non-autonomous linear differential equations that model the damped linear oscillator. In particular, the best (minimal) Ulam constants for these equations are derived. These robust results apply to equations with solutions that blow up in finite time, as well as to equations with solutions that exist globally on

(- \infty, \infty)

. Illustrative, non-trivial examples are presented, highlighting the main results.

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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.