[HTML][HTML] Mathematical modelling of problems with delay and after-effect

NJ Ford - Applied Numerical Mathematics, 2025 - Elsevier
This paper provides a tutorial review of the use of delay differential equations in
mathematical models of real problems. We use the COVID-19 pandemic as an example to …

Analytical Solutions of Systems of Linear Delay Differential Equations by the Laplace Transform: Featuring Limit Cycles

G Kerr, N Lopez, G González-Parra - Mathematical and Computational …, 2024 - mdpi.com
In this paper we develop an approach for obtaining the solutions to systems of linear
retarded and neutral delay differential equations. Our analytical approach is based on the …

Analytical solutions of linear delay-differential equations with Dirac delta function inputs using the Laplace transform

M Sherman, G Kerr, G González-Parra - Computational and Applied …, 2023 - Springer
In this paper, we propose a methodology for computing the analytic solutions of linear
retarded delay-differential equations and neutral delay-differential equations that include …

An Efficient Approach for Mixed Neutral Delay Differential Equations

R Aggarwal, G Methi, RP Agarwal, B Hussain - Computation, 2025 - mdpi.com
In this paper, neutral delay differential equations, which contain constant and proportional
terms, termed mixed neutral delay differential equations, are solved numerically. Moreover …

Analytical solutions of systems of linear retarded and neutral delay differential equations by the Laplace transform: featuring limit cycles

G Kerr, N Lopez, G Gonzalez-Parra - 2023 - researchsquare.com
In this paper we develop an approach for obtaining the solutions to systems of linear
retarded and neutral delay differential equations. Our analytical approach is based on the …