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Two-point boundary value problems lower and upper solutions

This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and mor...

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Bibliographic Details
Main Author: De Coster, Colette
Other Authors: Habets, Patrick
Format: eBook
Language:English
Published: Amsterdam Elsivier 2006, 2006
Edition:1st ed
Series:Mathematics in science and engineering
Subjects:
Équations Différentielles Fonctionnelles
Mathematics / Differential Equations / General / Bisacsh
Functional Differential Equations / Fast / (ocolc)fst00936063
Boundary Value Problems / Fast / (ocolc)fst00837122
Functional Differential Equations / Http://id.loc.gov/authorities/subjects/sh85052313
Boundary Value Problems / Http://id.loc.gov/authorities/subjects/sh85016102
Problèmes Aux Limites
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
Table of Contents:
  • Includes bibliographical references (pages 463-487) and index
  • Preface
  • Notations
  • Introduction
  • The History
  • I. The Periodic Problem
  • II. The Separated BVP
  • III. Relation with Degree Theory
  • IV. Variational Methods
  • V. Monotone Iterative Methods
  • VI. Parametric Multiplicity Problems
  • VII. Resonance and Nonresonance
  • VIII. Positive Solutions
  • IX. Problem with Singular Forces
  • X. Singular Perturbations
  • XI. Bibliographical Notes
  • Appendix
  • Bibliography
  • Index

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