Integral and Discrete Inequalities and The...

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Sprache: Englisch

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Beschreibung

This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author's book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations.
The present volume is part 2 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.

Über den Autor

Yuming Qin, born in 1963, is a professor in the Department of Applied Mathematics and the Institute for Nonlinear Science of Donghua University. His research interests are nonlinear evolutionary partial differential equations and their infinite dimensional dynamical systems. He finished more than 20 grants and is currently carrying out three grants from the National Natural Science Foundation of China and from the Shanghai Education Commission. Prof. Qin is presently on the editorial boards of four international journals and has published over 80 mathematical articles, among them more than 50 SCI articles, as well as four Birkhäuser monographs since 2008.

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

Details

Erscheinungsjahr:	2018
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xvi 1072 S.
ISBN-13:	9783319814827
ISBN-10:	3319814826
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Qin, Yuming
Auflage:	Softcover reprint of the original 1st edition 2016
Hersteller:	Birkhäuser 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:	235 x 155 x 58 mm
Von/Mit:	Yuming Qin
Erscheinungsdatum:	22.04.2018
Gewicht:	1,609 kg