Approximate solutions to a nonlinear functional differential equation
Classical Analysis and ODEs
2026-03-24 v3 Numerical Analysis
Numerical Analysis
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.
Cite
@article{arxiv.2401.11733,
title = {Approximate solutions to a nonlinear functional differential equation},
author = {Nicholas Hale and Enrique Thomann and JAC Weideman},
journal= {arXiv preprint arXiv:2401.11733},
year = {2026}
}