大葉大學圖書館 |

Differential equations with involutions[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.352
書名/作者:	Differential equations with involutions/ by 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.
標題:	Involutes (Mathematics)
標題:	Mathematics.
標題:	Ordinary Differential Equations.
標題:	Mathematical Methods in Physics.
ISBN:	9789462391215
ISBN:	9789462391208
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.2991/978-94-6239-121-5

Differential equations with involutions[electronic resource] /
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

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

189741
Differential equations.

LC Class. No.: QA371

Dewey Class. No.: 515.352

Differential equations with involutions[electronic resource] /
LDR:02102nam a2200325 a 4500 001 444801
003 DE-He213
005 20160526142420.0
006 m d
007 cr nn 008maaau
008 160715s2015 fr s 0 eng d
020 $a 9789462391215 $q (electronic bk.)
020 $a 9789462391208 $q (paper)
024 7 $a 10.2991/978-94-6239-121-5 $2 doi
035 $a 978-94-6239-121-5
040 $a GP $c GP
041 0 $a eng
050 4 $a QA371
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 515.352 $2 23
090 $a QA371 $b .C112 2015
100 1 $a Cabada, Alberto. $3 613446
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.
650 0 $a Differential equations. $3 189741
650 0 $a Involutes (Mathematics) $3 636582
650 1 4 $a Mathematics. $3 172349
650 2 4 $a Ordinary Differential Equations. $3 465742
650 2 4 $a Mathematical Methods in Physics. $3 464098
700 1 $a Tojo, F. Adrian F. $3 636581
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
830 0 $a Atlantis briefs in differential equations ; $v v.1. $3 606463
856 4 0 $u http://dx.doi.org/10.2991/978-94-6239-121-5
950 $a Mathematics and Statistics (Springer-11649)