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Birkhäuser Advanced Texts Basler Lehrbücher

Playing Around Resonance

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

Authors: Fonda, Alessandro

  • Provides an up-to-date description of nonlinear boundary value problemsTheory of periodic solutions of ODEs are treatedPermits to fastly reach advanced scientific results and open problems in the field

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eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-47090-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-47089-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Reviews

“Fonda’s Playing Around Resonance focuses on the material needed to develop research in ‘the existence of solutions’ to a type of nonlinear boundary value problem. In particular, he concentrates on providing the theory to research periodic solutions to second order ordinary differential equations. … it is truly geared more toward graduate students. Summing Up: Recommended. Graduate students, researchers, and faculty.” (S. L. Sullivan, Choice, Vol. 54 (11), July, 2017)

“This is an excellent book, well organized and full of well-explained results and techniques on the subject. The proofs of the theorems are rigorous and well written, the arguments are presented in a clear and pleasurable way. The final section of each chapter … provides information useful to a better understanding of the history of the results contained in the book. … used as a textbook in an advanced course dealing with periodic solutions for second-order ordinary differential equations.” (Addolorata Salvatore, Mathematical Reviews, 2017)


Table of contents (11 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-319-47090-0
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA
  • ISBN 978-3-319-47089-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Playing Around Resonance
Book Subtitle
An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations
Authors
Series Title
Birkhäuser Advanced Texts Basler Lehrbücher
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-3-319-47090-0
DOI
10.1007/978-3-319-47090-0
Hardcover ISBN
978-3-319-47089-4
Series ISSN
1019-6242
Edition Number
1
Number of Pages
XVI, 309
Number of Illustrations and Tables
8 b/w illustrations, 1 illustrations in colour
Topics