Cabada Fernández, AlbertoFernández Tojo, Fernando Adrián2026-01-072026-01-072017-07-15Alberto Cabada, F.Adrián F. Tojo, On linear differential equations and systems with reflection, Applied Mathematics and Computation, Volume 305, 2017, Pages 84-102, ISSN 0096-3003, https://doi.org/10.1016/j.amc.2017.01.039.0096-3003https://hdl.handle.net/10347/44901In this paper, we develop a theory of linear differential systems analogous to the classical one for ODEs, including the obtaining of fundamental matrices, the development of a variation of parameters formula and the expression of the Green’s functions. We also derive interesting results in the case of differential equations with reflection and generalize the Hyperbolic Phasor Addition Formula to the case of matrices.engAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Green’s functionsODEsReflectionLinear systems1202 Análisis y análisis funcionaljournal article10.1016/j.amc.2017.01.0391873-5649open access