SpringerBriefs in Mathematics

Green’s Functions in the Theory of Ordinary Differential Equations

Authors: Cabada, Alberto

  • Provides a comprehensive development of the theory of Green’s functions
  • Focuses on the qualitative properties of such functions
  • Contains a comprehensive bibliography of classic and recent works on the subject
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eBook $39.99
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  • ISBN 978-1-4614-9506-2
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  • Immediate eBook download after purchase
Softcover $54.99
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  • ISBN 978-1-4614-9505-5
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  • Usually dispatched within 3 to 5 business days.
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About this book

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.

Reviews

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)

Table of contents (1 chapters)

  • Green’s Functions in the Theory of Ordinary Differential Equations

    Cabada, Alberto

    Pages 1-139

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-1-4614-9506-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-1-4614-9505-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Green’s Functions in the Theory of Ordinary Differential Equations
Authors
Series Title
SpringerBriefs in Mathematics
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Alberto Cabada
eBook ISBN
978-1-4614-9506-2
DOI
10.1007/978-1-4614-9506-2
Softcover ISBN
978-1-4614-9505-5
Series ISSN
2191-8198
Edition Number
1
Number of Pages
XIV, 168
Number of Illustrations and Tables
3 illustrations in colour
Topics