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Differential equations with involutions

Cabada, Alberto.

Differential equations with involutions

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential equations with involutionsby Alberto Cabada, F. Adrian F. Tojo.
Author:	Cabada, Alberto.
other author:	Tojo, F. Adrian F.
Published:	Paris :Atlantis Press :2015.
Description:	xiv, 154 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Differential equations.
Online resource:	http://dx.doi.org/10.2991/978-94-6239-121-5
ISBN:	9789462391215$q(electronic bk.)

Differential equations with involutions
Cabada, Alberto.

Differential equations with involutions[electronic resource] /by Alberto Cabada, F. Adrian F. Tojo. - Paris :Atlantis Press :2015. - xiv, 154 p. :ill. (some col.), digital ;24 cm. - Atlantis briefs in differential equations,v.22405-6405 ;. - Atlantis briefs in differential equations ;v.1..

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.

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.

ISBN: 9789462391215$q(electronic bk.)

Standard No.: 10.2991/978-94-6239-121-5doiSubjects--Topical Terms:

183925
Differential equations.

LC Class. No.: QA371

Dewey Class. No.: 515.352

Differential equations with involutions
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100 1 $a Cabada, Alberto. $3 677377
245 1 0 $a Differential equations with involutions $h [electronic resource] / $c by Alberto Cabada, F. Adrian F. Tojo.
260 $a Paris : $b Atlantis Press : $b Imprint: Atlantis Press, $c 2015.
300 $a xiv, 154 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Atlantis briefs in differential equations, $x 2405-6405 ; $v v.2
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.
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650 0 $a Involutes (Mathematics) $3 732876
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Ordinary Differential Equations. $3 273778
650 2 4 $a Mathematical Methods in Physics. $3 273796
700 1 $a Tojo, F. Adrian F. $3 732875
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856 4 0 $u http://dx.doi.org/10.2991/978-94-6239-121-5
950 $a Mathematics and Statistics (Springer-11649)