Integral and Discrete Inequalities and Their Applications
Volume I: Linear Inequalities
Published on 14. October 2016
Book
Hardback
XVI, 989 pages
978-3-319-33300-7 (ISBN)
Description
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.
Reviews / Votes
"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)More details
Edition
1st ed. 2016
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Primary & secondary/elementary & high school
Illustrations
9 s/w Abbildungen
XVI, 989 p. 9 illus.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 59 mm
Weight
1654 gr
ISBN-13
978-3-319-33300-7 (9783319333007)
DOI
10.1007/978-3-319-33301-4
Schweitzer Classification
Other editions
Additional editions
Book
06/2018
Birkhäuser
€246.09
Article exhausted; check different version
E-Book
10/2016
1st Edition
Birkhäuser
€234.33
Available for download
Person
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.
Content
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.