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

Ioannis Dassios

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: singular system / reformulates / rows / columns / coefficients / differential equations / system of differential

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