Overview
- Provides an up-to-date description of nonlinear boundary value problems
- Theory of periodic solutions of ODEs are treated
- Permits to fastly reach advanced scientific results and open problems in the field
Part of the book series: Birkhäuser Advanced Texts Basler Lehrbücher (BAT)
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Table of contents (11 chapters)
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Front Matter
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Back Matter
Keywords
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
“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)
Authors and Affiliations
Bibliographic Information
Book Title: Playing Around Resonance
Book Subtitle: An Invitation to the Search of Periodic Solutions for Second Order Ordinary Differential Equations
Authors: Alessandro Fonda
Series Title: Birkhäuser Advanced Texts Basler Lehrbücher
DOI: https://doi.org/10.1007/978-3-319-47090-0
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2016
Hardcover ISBN: 978-3-319-47089-4Published: 22 November 2016
Softcover ISBN: 978-3-319-83658-4Published: 29 June 2018
eBook ISBN: 978-3-319-47090-0Published: 11 November 2016
Series ISSN: 1019-6242
Series E-ISSN: 2296-4894
Edition Number: 1
Number of Pages: XVI, 309
Number of Illustrations: 8 b/w illustrations, 1 illustrations in colour
Topics: Ordinary Differential Equations