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Differential Equations with Involutions

This monograph covers the existing results regarding Green's functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential oper...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Cabada, Alberto (Autor), F. Tojo, F. Adrián (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
Edición:1st ed. 2015.
Colección:Atlantis Briefs in Differential Equations,
Temas:
Acceso en línea:Texto Completo

MARC

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505 0 |a Involutions and differential equations -- General results for differential equations with involutions -- Order one problems with constant coefficients -- The non-constant case -- General linear equations -- A cone approximation to a problem with reflection. 
520 |a This monograph covers the existing results regarding Green's functions for differential equations with involutions (DEI).The first part of the book is devoted to the study of the most useful aspects of involutions from an analytical point of view and the associated algebras of differential operators. The work combines the state of the art regarding the existence and uniqueness results for DEI and new theorems describing how to obtain Green's functions, proving that the theory can be extended to operators (not necessarily involutions) of a similar nature, such as the Hilbert transform or projections, due to their analogous algebraic properties. Obtaining a Green's function for these operators leads to new results on the qualitative properties of the solutions, in particular maximum and antimaximum principles. 
650 0 |a Differential equations. 
650 0 |a Mathematical physics. 
650 1 4 |a Differential Equations. 
650 2 4 |a Mathematical Methods in Physics. 
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