Equivalent systems for differential equations with polynomially distributed delay
Abstract
We consider delay differential equations with a polynomially distributed delay. We derive an equivalent system of delay differential equations, which includes just two discrete delays. The stability of the equivalent system and its stationary solutions are investigated. Alternatively, a Gaussian quadrature generates a discretization of the integral, which describes the distributed delay in the original delay differential equation. This technique yields an approximate differential equation with multiple discrete delays. We present results of numerical computations, where initial value problems of the differential equations are solved by numerical time integration. Therein, the two approaches are compared.
Fields of Study & Subjects
Numerical methods for differential equations
Differential Equations and Numerical Methods
advanced mathematical theories
Publication details
- Journal / source
- Mathematical and Computer Modelling of Dynamical Systems
- Publisher
- Informa UK Limited
- Volume
- 32
- Issue
- 1
- Publication date
- 20 July 2026
- Language
- EN