Format:
Online-Ressource (XIV, 154 p. 6 illus., 1 illus. in color, online resource)
Edition:
1st ed. 2015
ISBN:
9789462391215
Series Statement:
Atlantis Briefs in Differential Equations
Content:
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
Content:
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
Note:
Includes bibliographical references and index
,
Involutions and differential equationsGeneral 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.
Additional Edition:
ISBN 9789462391208
Additional Edition:
Erscheint auch als Druck-Ausgabe Cabada, Alberto Differential equations with involutions Paris : Atlantis Press, 2015 ISBN 9789462391208
Language:
English
Subjects:
Mathematics
DOI:
10.2991/978-94-6239-121-5
