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Integral and Discrete Inequalities and Their Applications: Volume I: Linear Inequalities de Yuming Qin

Integral and Discrete Inequalities and Their Applications: Volume I: Linear Inequalities

Autor Yuming Qin
en Limba Engleză Hardback – 14 oct 2016
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.
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Specificații

ISBN-13: 9783319333007
ISBN-10: 3319333003
Pagini: 893
Ilustrații: XVI, 989 p. 9 illus.
Dimensiuni: 155 x 235 x 52 mm
Greutate: 16.19 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Birkhäuser
Locul publicării:Cham, Switzerland

Cuprins

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.

Recenzii

“The present research book is a useful exposition of mathematical works done by the author, scattered in many papers over the past decades, involving subjects of classical analysis such as integral inequalities and discrete inequalities. … This book provides a useful collection and systematic presentation of known and new results on linear inequalities, as well as many applications to differential, difference and integral equations. This book is useful for researchers working on these topics.” (Choonkil Park, zbMATH 1359.26004, 2017)

Textul de pe ultima copertă

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.

Caracteristici

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