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Playing Around Resonance

An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations

  • Alessandro Fonda

Part of the Birkhäuser Advanced Texts Basler Lehrbücher book series (BAT)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Alessandro Fonda
    Pages 1-29
  3. Alessandro Fonda
    Pages 31-45
  4. Alessandro Fonda
    Pages 47-70
  5. Alessandro Fonda
    Pages 71-99
  6. Alessandro Fonda
    Pages 101-135
  7. Alessandro Fonda
    Pages 137-156
  8. Alessandro Fonda
    Pages 157-171
  9. Alessandro Fonda
    Pages 173-191
  10. Alessandro Fonda
    Pages 193-212
  11. Alessandro Fonda
    Pages 213-229
  12. Alessandro Fonda
    Pages 231-254
  13. Back Matter
    Pages 255-309

About this book

Introduction

This book provides an up-to-date description of the methods needed to face the existence of solutions to some nonlinear boundary value problems. All important and interesting aspects of the theory of periodic solutions of ordinary differential equations related to the physical and mathematical question of resonance are treated. The author has chosen as a model example the periodic problem for a second order scalar differential equation. In a paedagogical style the author takes the reader step by step from the basics to the most advanced existence results in the field.

Keywords

Resonance and Nonresonance Periodic Solutions Topological Degree Asymmetric Oscillator Variational Methods Poincaré-Birkhoff Theorem

Authors and affiliations

  • Alessandro Fonda
    • 1
  1. 1.Dipartimento di Matematica e GeoscienzeUniversità degli Studi di TriesteTriesteItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-47090-0
  • Copyright Information Springer International Publishing AG 2016
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-47089-4
  • Online ISBN 978-3-319-47090-0
  • Series Print ISSN 1019-6242
  • Series Online ISSN 2296-4894
  • Buy this book on publisher's site
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