A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations

G Kerr, G González-Parra, M Sherman - Applied Mathematics and …, 2022 - Elsevier
In this paper, we present a new method for solving linear neutral delay differential equations.
We derive and illustrate the main features of this novel approach, that combines the Laplace …

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 …

A new modified highly accurate Laplace-Fourier method for linear neutral delay differential equations

G Kerr, G Gonzalez-Parra - arXiv preprint arXiv:2404.15291, 2024 - arxiv.org
In this article, a new modified Laplace-Fourier method is developed in order to obtain the
solutions of linear neutral delay differential equations. The proposed method provides a …

Stability for a delayed switched nonlinear system of differential equations in a critical case

D Enciu, A Halanay - International Journal of Control, 2022 - Taylor & Francis
In this paper, the stability of an equilibrium of a feedback nonlinear system with time delay
and structural switching is studied. The critical case of a zero root of the characteristic …

The Effects of Mass Variation on Closed-loop EHA System under High Leakage Flow Condition

MF Ghani, R Ghazali, HI Jaafar… - 2021 11th IEEE …, 2021 - ieeexplore.ieee.org
The electrohydraulic actuator (EHA) system is widely used in the current industry
applications mainly due to its advantages on high power to weight ratio, precise positioning …

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 …

Analysis of the sign of the solution for certain second-order periodic boundary value problems with piecewise constant arguments

S Buedo-Fernández, D Cao Labora… - Mathematics, 2020 - mdpi.com
We find sufficient conditions for the unique solution of certain second-order boundary value
problems to have a constant sign. To this purpose, we use the expression in terms of a …

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 …