Overview
Collects integral and discrete inequalities established by many different authors
Presents some integral and discrete inequalities and their applications in (partial) differential equations, integral equations and discrete equations
Introduces Gronwall-Bellman, Henry, Bihari and Ou-Yang inequalities
Presents numerous inequalities, which cannot be found in other books
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
- linear one-dimensional continuous integral inequalities
- linear one-dimensional discrete inequalities
- linear one-dimensional discontinuous integral inequalities
- linear multi-dimensional continuous integral inequalities
- linear multi-dimensional discrete inequalities
- linear multi-dimensional discontinuous integral inequalities
- Gronwall-Bellman inequality
- ordinary differential equations
- partial differential equations
About this book
This book focuses on one- and multi-dimensional linear integral and discrete Gronwall-Bellman type inequalities. It provides a useful collection and systematic presentation of known and new results, as well as many applications to differential (ODE and PDE), difference, and integral equations. With this work the author fills a gap in the literature on inequalities, offering an ideal source for researchers in these topics.
The present volume is part 1 of the author’s two-volume work on inequalities.
Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.
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Bibliographic Information
Book Title: Integral and Discrete Inequalities and Their Applications
Book Subtitle: Volume I: Linear Inequalities
Authors: Yuming Qin
DOI: https://doi.org/10.1007/978-3-319-33301-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-33300-7Published: 14 October 2016
Softcover ISBN: 978-3-319-81481-0Published: 16 June 2018
eBook ISBN: 978-3-319-33301-4Published: 08 October 2016
Edition Number: 1
Number of Pages: XVI, 989
Number of Illustrations: 9 b/w illustrations
Topics: Real Functions, Ordinary Differential Equations, Partial Differential Equations, Integral Equations, Difference and Functional Equations