Nature

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Ordinary differential equations (ODEs) and difference equations serve as complementary tools in the mathematical modelling of processes evolving in continuous and discrete time respectively. Together ...
JSTOR Daily

On the Selection of Ordinary Differential Equation Models with Application to Predator-Prey Dynamical Models

We consider model selection and estimation in a context where there are competing ordinary differential equation (ODE) models, and all the models are special cases of a "full" model. We propose a ...
JSTOR Daily

Infinite Systems of Ordinary Differential Equations with Applications to Certain Second-Order Partial Differential Equations

This monthly journal, published since 1900, is devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American ...
Nature

Delay Differential Equations and Their Applications

Delay differential equations (DDEs) extend classical ordinary differential equations by incorporating dependencies on past states. This inclusion of time delays is critical for accurately modelling ...
Simon Fraser University

Ordinary Differential Equations

Ordinary differential equations (ODEs) are also called initial value problems because a time zero value for each first-order differential equation is needed. The following is an example of a ...