Differential Equations with Involutions

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Cabada, Alberto (Συγγραφέας), F. Tojo, F. Adrián (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Paris : Atlantis Press : Imprint: Atlantis Press, 2015.
Έκδοση:1st ed. 2015.
Σειρά:Atlantis Briefs in Differential Equations,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02742nam a22004815i 4500
001 978-94-6239-121-5
003 DE-He213
005 20160107161033.0
007 cr nn 008mamaa
008 160106s2015 fr | s |||| 0|eng d
020 |a 9789462391215  |9 978-94-6239-121-5 
024 7 |a 10.2991/978-94-6239-121-5  |2 doi 
040 |d GrThAP 
050 4 |a QA372 
072 7 |a PBKJ  |2 bicssc 
072 7 |a MAT007000  |2 bisacsh 
082 0 4 |a 515.352  |2 23 
100 1 |a Cabada, Alberto.  |e author. 
245 1 0 |a Differential Equations with Involutions  |h [electronic resource] /  |c by Alberto Cabada, F. Adrián F. Tojo. 
250 |a 1st ed. 2015. 
264 1 |a Paris :  |b Atlantis Press :  |b Imprint: Atlantis Press,  |c 2015. 
300 |a XIV, 154 p. 6 illus., 1 illus. in color.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Atlantis Briefs in Differential Equations,  |x 2405-6405 
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 Mathematics. 
650 0 |a Differential equations. 
650 0 |a Physics. 
650 1 4 |a Mathematics. 
650 2 4 |a Ordinary Differential Equations. 
650 2 4 |a Mathematical Methods in Physics. 
700 1 |a F. Tojo, F. Adrián.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9789462391208 
830 0 |a Atlantis Briefs in Differential Equations,  |x 2405-6405 
856 4 0 |u http://dx.doi.org/10.2991/978-94-6239-121-5  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)