Approximate solutions to a nonlinear functional differential equation
This work addresses a specific mathematical modeling problem, likely incremental in nature.
The paper tackled approximating solutions to a nonlinear functional differential equation related to the logistic equation, identifying parameter regions where linear series solutions provide good approximations and mapping the solution space for a specific function class using continuation methods.
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.