Name: Green’s Functions in the Theory of Ordinary Differential Equations
ISBN: 978-1-4614-9506-2

Overview

Authors:

Alberto Cabada ⁰

Alberto Cabada
1. Department of Mathematical Analysis, University of Santiago de Compostela, Galicia, Spain
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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

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

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33 Citations

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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.

Relationship Between Green’s Functions for Even Order Linear Boundary Value Problems

Composing and Factoring Generalized Green’s Operators and Ordinary Boundary Problems

An identity for the Heaviside function and its application in representation of nonlinear Green’s function

Article 19 November 2019

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Table of contents (1 chapter)

Front Matter

Pages i-xiv

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Green’s Functions in the Theory of Ordinary Differential Equations
- Alberto Cabada
Pages 1-139
Back Matter

Pages 141-168

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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)

Authors and Affiliations

Department of Mathematical Analysis, University of Santiago de Compostela, Galicia, Spain

Alberto Cabada

Bibliographic Information

Book Title: Green’s Functions in the Theory of Ordinary Differential Equations
Authors: Alberto Cabada
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-9506-2
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Softcover ISBN: 978-1-4614-9505-5Published: 30 November 2013
eBook ISBN: 978-1-4614-9506-2Published: 29 November 2013
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XIV, 168
Number of Illustrations: 3 illustrations in colour
Topics: Ordinary Differential Equations, Several Complex Variables and Analytic Spaces, Operator Theory

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Green’s Functions in the Theory of Ordinary Differential Equations