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Green’s Functions in the Theory of Ordinary Differential Equations

  • Alberto Cabada

Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Back Matter
    Pages 141-168

About this book

Introduction

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.

Keywords

Boundary Value Problems Comparison Results Green's Function Lower and Upper Solutions Monotone Iterative Techniques

Authors and affiliations

  • Alberto Cabada
    • 1
  1. 1.Department of Mathematical AnalysisUniversity of Santiago de CompostelaGaliciaSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4614-9506-2
  • Copyright Information Alberto Cabada 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4614-9505-5
  • Online ISBN 978-1-4614-9506-2
  • Series Print ISSN 2191-8198
  • Series Online ISSN 2191-8201
  • Buy this book on publisher's site
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