Analytic solutions of linear neutral and non-neutral delay differential equations using the Laplace transform method: featuring higher order poles and resonance

M Sherman, G Kerr, G González-Parra - Journal of Engineering …, 2023 - Springer
In this article, we extend the Laplace transform method to obtain analytic solutions for linear
RDDEs and NDDEs which have real and complex poles of higher order. Furthermore, we …

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 …

[PDF][PDF] On the numerical solution of second order delay differential equations via a novel approach

K Salma Aljawia, S Hussainb, K Shahc… - J. Math. Comput …, 2025 - researchgate.net
Delay differential equations belong to an important class of differential equations in which
the evolution of the state depends on the previous time. This work proposes a novel …

Analytical-Numerical Solutions of Linear Delay Differential Equations and Applications

M Sherman - 2023 - search.proquest.com
This research concentrates on extensions of the Laplace Transform (LT) method to obtain
analytical solutions for linear first order delay differential equations (DDEs) of neutral and …

Preface to Numerical and Symbolic Computation: Developments and Applications—2021

MAR Loja - Mathematical and Computational Applications, 2022 - mdpi.com
This is the Special Issue “Numerical and Symbolic Computation: Developments and
Applications—2021”, also available at the Special Issue website https://www. mdpi …