Green’s Functions in the Theory of Ordinary Differential Equations (SpringerBriefs in Mathematics) - Softcover

Buch 35 von 155: SpringerBriefs in Mathematics

Cabada, Alberto

 
9781461495055: Green’s Functions in the Theory of Ordinary Differential Equations (SpringerBriefs in Mathematics)
Softcover
ISBN 10: 1461495059 ISBN 13: 9781461495055
Verlag: Springer, 2013

Inhaltsangabe

This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green’s functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions.

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Críticas

From the book reviews:

“A resource for researchers and graduate students studying boundary value problems for functional differential equations. ... the author produces a coherent, useful and quite elegant presentation of the construction of Green’s functions, accompanied by a specific set of applications related to primarily maximum and anti-maximum type principles, comparison theory and methods of upper and lower solutions. ... provides a readable and interesting account that will be useful to researchers who want to understand constructions of such operators.” (P. W. Eloe, Mathematical Reviews, July, 2014)

Reseña del editor

This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive solutions by constructing operators defined in cones. The book will be of interest to graduate students and researchers interested in the theoretical underpinnings of boundary value problem solutions.

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Verlag
Springer
Erscheinungsdatum
2013
Sprache
Englisch
ISBN 10 
1461495059
ISBN 13 
9781461495055
Einband
Tapa blanda
Anzahl der Seiten
184
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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Weitere beliebte Ausgaben desselben Titels

9781461495062: Green's Functions in the Theory of Ordinary Differential Equations (Springerbriefs in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  1461495067 ISBN 13:  9781461495062
Verlag: Not Avail, 2014
Softcover