Green's Functions in the Theory of Ordinary Differential Equations
Published on 30. November 2013
Book
Paperback/Softback
XIV, 168 pages
978-1-4614-9505-5 (ISBN)
Description
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 / Votes
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)
More details
Product info
Book
Series
Edition
2014
Language
English
Place of publication
NY
United States
Target group
Professional and scholarly
Research
Edition type
Revised edition
Illustrations
3
3 farbige Abbildungen
XIV, 168 p. 3 illus. in color.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 10 mm
Weight
322 gr
ISBN-13
978-1-4614-9505-5 (9781461495055)
DOI
10.1007/978-1-4614-9506-2
Schweitzer Classification
Other editions
Additional editions
E-Book
11/2013
1st Edition
Springer
€64.19
Available for download
Content
1. Green's Functions in the Theory of Ordinary Differential Equations.- Appendix A. A Green's Function Mathematica Package.- Appendix B. Expressions of Some Particular Green's Functions.