On linear differential equations and systems with reflection

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URI: https://hdl.handle.net/10347/44901
ISSN: 0096-3003
E-ISSN: 1873-5649
DOI: 10.1016/j.amc.2017.01.039

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2017-07-15

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Elsevier
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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.

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Green’s functions| ODEs| Reflection| Linear systems

Bibliographic citation

Alberto 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.

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Partially supported by Ministerio de Economía y Competitividad (Spain) and FEDER projects MTM2013-43014-P and MTM2016-75140-P and Xunta de Galicia (Spain), project EM2014/032.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Estatística, Análise Matemática e Optimización