Solving a Delay Differential Equation through Fourier Transform

Author:

Kenta Ohira, Toru Ohira

Keyword:

Nonlinear Sciences, Adaptation and Self-Organizing Systems, Adaptation and Self-Organizing Systems (nlin.AO)

journal:

date:

2024-01-04 00:00:00

Abstract

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.

PDF: Solving a Delay Differential Equation through Fourier Transform.pdf