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Differential equations with involutions

Cabada, Alberto.

Differential equations with involutions

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Differential equations with involutionsby Alberto Cabada, F. Adrian F. Tojo.
作者:	Cabada, Alberto.
其他作者:	Tojo, F. Adrian F.
出版者:	Paris :Atlantis Press :2015.
面頁冊數:	xiv, 154 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Differential equations.
電子資源:	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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245 1 0 $a Differential equations with involutions $h [electronic resource] / $c by Alberto Cabada, F. Adrian F. Tojo.
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300 $a xiv, 154 p. : $b ill. (some col.), digital ; $c 24 cm.
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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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