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arXiv · 2401.11733

Approximate solutions to a nonlinear functional differential equation

Nicholas Hale·Enrique Thomann·JAC Weideman
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Abstract

A functional differential equation related to the logistic equation is studied by a combination of numerical and perturbation methods. Parameter regions are identified where the solution to the nonlinear problem is approximated well by known series solutions of the linear version of the equation. The solution space for a particular class of functions is then mapped out using a continuation approach.

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Nicholas Hale, Enrique Thomann, JAC Weideman. 2024-01-22. Approximate solutions to a nonlinear functional differential equation. https://arxiv.org/abs/2401.11733

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