Integral and Discrete Inequalities and The...

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Beschreibung

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.

Zusammenfassung

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

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2016
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	xvi 989 S. 9 s/w Illustr. 989 p. 9 illus.
ISBN-13:	9783319333007
ISBN-10:	3319333003
Sprache:	Englisch
Herstellernummer:	978-3-319-33300-7
Einband:	Gebunden
Autor:	Qin, Yuming
Auflage:	1st edition 2016
Hersteller:	Springer International Publishing Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com
Maße:	241 x 160 x 59 mm
Von/Mit:	Yuming Qin
Erscheinungsdatum:	14.10.2016
Gewicht:	1,654 kg