Integral and Discrete Inequalities and Their Applications: Volume I: Linear Inequalities
Integral and Discrete Inequalities and Their Applications: Volume I: Linear Inequalities
Birkhäuser | Mathematics | Nov. 09 2016 | ISBN-10: 3319333003 | 989 pages | pdf | 10.25 mb
Birkhäuser | Mathematics | Nov. 09 2016 | ISBN-10: 3319333003 | 989 pages | pdf | 10.25 mb
Authors: Qin, Yuming
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
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
Number of Pages
XVI, 989
Number of Illustrations and Tables
9 b/w illustrations
Topics
Real Functions
Ordinary Differential Equations
Partial Differential Equations
Integral Equations
Difference and Functional Equations
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