Differential equations with involutions [electronic resource] / Alberto Cabada, F. Adrián F. Tojo.
Cabada, Alberto, author.; Tojo, F. Adrián F. author.
2015
QA371
Available Online

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Title Differential equations with involutions [electronic resource] / Alberto Cabada, F. Adrián F. Tojo.
Author Cabada, Alberto, author.
ISBN 9789462391215 electronic book
9462391211 electronic book
9789462391208
9462391203
DOI https://doi.org/10.2991/978-94-6239-121-5
Published [Paris] : Atlantis Press, 2015.
Language English
Description 1 online resource (xiv, 154 pages) : illustrations.
Item Number 10.2991/978-94-6239-121-5 doi
Call Number QA371
Dewey Decimal Classification 515/.352
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed January 15, 2016).
Added Author Tojo, F. Adrián F. author.
Series Atlantis briefs in differential equations ; volume 2.
Available in Other Form Print version: 9789462391208
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All Resources
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.

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