Integral and discrete inequalities and their applications. Volume I, Linear inequalities /

Integral and discrete inequalities and their applications. Volume I, Linear inequalities /

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Bibliographic Details
Author / Creator:	Qin, Yuming, author.
Imprint:	Switzerland : Birkhäuser, 2016.
Description:	1 online resource (xvi, 989 pages) : illustrations
Language:	English
Subject:	Integral inequalities. Integral inequalities.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11267522

Hidden Bibliographic Details
Varying Form of Title:	Linear inequalities
ISBN:	9783319333014 3319333011 9783319333007
Notes:	Includes bibliographical references and index. Online resource; title from PDF title page (SpringerLink, viewed October 17, 2016).
Summary:	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.

Table of Contents:

Preface
Linear One-Dimensional Continuous Integral Inequalities
Linear One-Dimensional Discrete (Difference) Inequalities
Linear One-Dimensional Discontinuous Integral Inequalities
Applications of Linear One-Dimensional Inequalities
Linear Multi-Dimensional Continuous Integral Inequalities
Linear Multi-Dimensional Discrete (Difference) Inequalities
Linear Multi-Dimensional Discontinuous Integral Inequalities
Applications of Linear Multi-Dimensional Integral and Difference Inequalities.