[PDF] Integral and Discrete Inequalities and Their Applications: Volume I: Linear Inequalities

ISBN: 3319333003

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Posted on 2017-12-25, by luongquocchinh.

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Author: Yuming Qin | Publisher: Birkhauser | Category: Mathematics | Language: English | Page: 989 | ISBN: 3319333003 | ISBN13: 9783319333007 |

Description: 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 authors 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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