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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Detalhes bibliográficos
Autores: Cabada Fernández, Alberto, Fernández Tojo, Fernando Adrián
Formato: artículo
Fecha de publicación:2017
País:España
Recursos: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
Acesso em linha:https://hdl.handle.net/10347/44901
Access Level:acceso abierto
Palavra-chave:Green’s functions
ODEs
Reflection
Linear systems
1202 Análisis y análisis funcional
Descrição
Resumo: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.