Solving a delay differential equation through the Fourier transform

被引：0

作者：

Ohira, Kenta ^{[1
]}

Ohira, Toru ^{[2
]}

机构：

[1] Nagoya Univ, Future Value Creat Res Ctr, Grad Sch Informat, Nagoya, Japan

[2] Nagoya Univ, Grad Sch Math, Nagoya, Japan

来源：

PHYSICS LETTERS A | 2025年 / 531卷

关键词：

Delay; Transient oscillation; Fourier transform; STABILITY; SYSTEMS; OSCILLATION;

D O I：

10.1016/j.physleta.2024.130138

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this study, we introduce and explore a delay differential equation that lends itself to explicit solutions in the Fourier-transformed space. Through the careful alignment of the initial function, we can construct a highly accurate solution to the equation. These findings open new avenues for understanding delay systems, demonstrating the efficacy of Fourier transform techniques in capturing transient oscillatory dynamics.

引用

页数：7

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