Best Ulam constants for damped linear oscillators with variable coefficients

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

引用次数: 0

Abstract

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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具有可变系数的阻尼线性振荡器的最佳乌拉姆常数

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。

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

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

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