Solving a Delay Differential Equation through Fourier Transform
arXiv:2401.02027 · doi:10.1016/j.physleta.2024.130138
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.
submitted for publication, 9pages 3 figures. Ver2: added a paragraph at the end of Sec.2 and aknowledgements; Ver 3: Updated texts and figures, and added references