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.
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页数：7
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