On the relations between a singular system of differential equations and a system with delays

Year 2022, , 221 - 227, 30.12.2022

Ioannis Dassios

https://doi.org/10.53391/mmnsa.2022.018

Cited By: 2

Abstract

In this article, we consider a class of systems of differential equations with multiple delays. We define a transform that reformulates the system with delays into a singular linear system of differential equations whose coefficients are non-square constant matrices, and the number of their columns is greater than the number of their rows. By studying only the singular system, we provide a form of solutions for both systems.

Keywords

Delays, differential, singular systems, underdetermined systems

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