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Green’s Functions in the Theory of Ordinary Differential Equations

  • Alberto Cabada
Book

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