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arXiv · 2401.02027

Solving a Delay Differential Equation through Fourier Transform

Kenta Ohira·Toru Ohira
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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.

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Kenta Ohira, Toru Ohira. 2024-01-04. Solving a Delay Differential Equation through Fourier Transform. https://doi.org/10.1016/j.physleta.2024.130138

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