On linear differential equations and systems with reflection

Alberto Cabada and F.Adrián F. Tojo

Applied Mathematics and Computation, 2017, vol. 305, issue C, 84-102

Abstract: In 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.

Keywords: Green’s functions; ODEs; Reflection; Linear systems (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:305:y:2017:i:c:p:84-102

DOI: 10.1016/j.amc.2017.01.039

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