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 ...

Initial value problems for first order partial functional almost linear equations with unbounded delay are considered. The functional dependence is represented by the generalized Hale operator with ...

We describe a new Chebyshev spectral collocation method for systems of variablecoefficient linear delay differential equations with a single fixed delay. Computable uniform a posteriori bounds are ...