用傅里叶变换分析高阶线性微分方程的稳定性及其应用

IF 1.3 4区物理与天体物理 Q3 PHYSICS, MULTIDISCIPLINARY

International Journal of Theoretical Physics Pub Date : 2025-04-30 DOI:10.1007/s10773-025-05988-6

M. Sivashankar, S. Sabarinathan, Salah Boulaaras, Mohamed Abdalla, Taha Radwan

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引用次数: 0

摘要

本研究的主要重点是应用傅里叶变换技术来解决高阶线性微分方程的稳定性问题。另一个关键方面是利用傅里叶变换方法研究线性微分方程的Hyers-Ulam稳定性。进一步将结果推广到这些方程的Hyers-Ulam-Mittag-Leffler稳定性。从应用的角度来看，傅里叶变换用于确定质量-弹簧系统中微分方程的Ulam稳定性，并通过图形表示结果。

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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Stability Analysis of Higher-Order Linear Differential Equations Using the Fourier Transform With Applications

The primary focus of this study is to apply the Fourier transform technique to address the stability problem of higher-order linear differential equations. Another key aspect is the investigation of the Hyers-Ulam stability of linear differential equations using the Fourier transform method. Furthermore, the results are extended to the Hyers-Ulam-Mittag-Leffler stability of these equations. From an applied perspective, the Fourier transform is employed to determine the Ulam stabilities of differential equations arising in mass-spring systems, with the results illustrated through graphical representations.

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来源期刊

International Journal of Theoretical Physics 物理-物理：综合

CiteScore

2.50

自引率

21.40%

发文量

258

审稿时长

3.3 months

期刊介绍： International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.