On linear differential equations and systems with reflection

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...

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Detalles Bibliográficos
Autores: Cabada Fernández, Alberto, Fernández Tojo, Fernando Adrián
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad de Santiago de Compostela (USC)
Repositorio:Minerva. Repositorio Institucional de la Universidad de Santiago de Compostela
Idioma:inglés
OAI Identifier:oai:minerva.usc.gal:10347/44901
Acceso en línea:https://hdl.handle.net/10347/44901
Access Level:acceso abierto
Palabra clave:Green’s functions
ODEs
Reflection
Linear systems
1202 Análisis y análisis funcional
Descripción
Sumario: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.