Authors:
Serves as a sampling of topics in critical point theory
Ideal for graduate students and researchers interested in differential equations and nonlinear analysis
Applications immediately follow each result for easy assimilation by the reader
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Table of contents (12 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"This book is intended to be an introduction to variational methods for ODEs and PDEs. … Overall, this is a well-written book on the variational methods … . The author clearly loves and knows the subject area and it is very good at providing an overview to the area … . As such, a good guided reading course for graduate students could be made from this book, covering one chapter per session (or two)." (David A. W. Barton, Dynamical Systems Magazine, April, 2008)
"This little book consists of a very clear introduction to variational methods and their applications to ODEs and PDEs. … the bibliography contains basic items on the subject and also turns out to be very useful for further reading. In my opinion the book should be strongly recommended to anyone—graduate student or researcher—who is interested in variational methods and their applications to differential equations." (Salvatore A. Marano, Mathematical Reviews, Issue 2008 k)
“The intention of the author is to provide a first introduction to variational methods in solving ODEs and PDEs for graduate students. The book is a concise collection of some fundamental aspects of this area … . It presents a nice and direct approach to these central topics and is written with great care and clarity. It can be warmly recommended to anyone wishing to enter this active area of research.” (M. Kunzinger, Monatshefte für Mathematik, Vol. 156 (4), April, 2009)
Authors and Affiliations
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Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, USA
David G. Costa
Bibliographic Information
Book Title: An Invitation to Variational Methods in Differential Equations
Authors: David G. Costa
DOI: https://doi.org/10.1007/978-0-8176-4536-6
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2007
Softcover ISBN: 978-0-8176-4535-9Published: 21 June 2007
eBook ISBN: 978-0-8176-4536-6Published: 30 April 2010
Edition Number: 1
Number of Pages: XII, 138
Number of Illustrations: 9 b/w illustrations
Topics: Ordinary Differential Equations, Calculus of Variations and Optimal Control; Optimization, Partial Differential Equations