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Atlantis Press

Differential Equations with Involutions

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Product Code: 9789462391208
ISBN13: 9789462391208
Condition: New
$60.77
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.


Author: Alberto Cabada, F. Adrián F. Tojo
Publisher: Atlantis Press
Publication Date: Jan 15, 2016
Number of Pages: NA pages
Language: English
Binding: Paperback
ISBN-10: 9462391203
ISBN-13: 9789462391208

Differential Equations with Involutions

$60.77
 
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.


Author: Alberto Cabada, F. Adrián F. Tojo
Publisher: Atlantis Press
Publication Date: Jan 15, 2016
Number of Pages: NA pages
Language: English
Binding: Paperback
ISBN-10: 9462391203
ISBN-13: 9789462391208
 

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