
Differential Equations with Involutions
Atlantis Press (Zeger Karssen)
Published on 15. January 2016
Book
Paperback/Softback
XIV, 154 pages
978-94-6239-120-8 (ISBN)
Description
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.
More details
Series
Edition
2015 ed.
Language
English
Place of publication
Paris
Netherlands
Target group
Professional and scholarly
Research
Illustrations
5 s/w Abbildungen, 1 farbige Abbildung
XIV, 154 p. 6 illus., 1 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 10 mm
Weight
265 gr
ISBN-13
978-94-6239-120-8 (9789462391208)
DOI
10.2991/978-94-6239-121-5
Schweitzer Classification
Other editions
Additional editions

Alberto Cabada | F. Adrián F. Tojo
Differential Equations with Involutions
E-Book
01/2016
1st Edition
Atlantis Press
€53.49
Available for download
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.