Overview
- Emphasizes the use of Lyapunov-type inequalities to obtain lower bounds for eigenvalues
- Devoted to more general nonlinear equations, systems of differential equations, or partial differential equations
- Many inequalities intertwined, including Hardy, Sobolev and Poincare inequalities
Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)
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Table of contents (5 chapters)
Keywords
About this book
Reviews
From the book reviews:
“This book presents in about 114 pages a good concise summary and a fairly comprehensive study of Lyapunov-type inequalities. … The presentation is clear and well prepared as a whole. The book will be useful for a graduate or even an advanced undergraduate course where Lyapunov-type inequalities are studied or needed and for mathematicians working in the field.” (Shao Zhu Chen, Mathematical Reviews, October, 2014)
“In this volume, the author presents in detail some of these aspects, from its origin to its current situation. … The book contains many explanatory remarks and many comments on the cited bibliography, which can contribute to a better understanding of the theoretical results. Finally, this volume can be useful for researchers interested in the subject and also for all those who want to start in the field.” (Antonio Cañada Villar, zbMATH, Vol. 1291, 2014)Authors and Affiliations
Bibliographic Information
Book Title: Lyapunov-type Inequalities
Book Subtitle: With Applications to Eigenvalue Problems
Authors: Juan Pablo Pinasco
Series Title: SpringerBriefs in Mathematics
DOI: https://doi.org/10.1007/978-1-4614-8523-0
Publisher: Springer New York, NY
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Juan Pablo Pinasco 2013
Softcover ISBN: 978-1-4614-8522-3Published: 15 September 2013
eBook ISBN: 978-1-4614-8523-0Published: 14 September 2013
Series ISSN: 2191-8198
Series E-ISSN: 2191-8201
Edition Number: 1
Number of Pages: XIII, 131
Topics: Ordinary Differential Equations, Several Complex Variables and Analytic Spaces, Difference and Functional Equations