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Integral and Discrete Inequalities and Their Applications: Volume II: Nonlinear Inequalities

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

ISBN-13: 9783319333038
ISBN-10: 3319333038
Pagini: 970
Ilustrații: XVI, 1072 p.
Dimensiuni: 155 x 235 x 56 mm
Greutate: 17.37 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Birkhäuser
Locul publicării:Cham, Switzerland

Cuprins

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.

Recenzii

“The present research book is a useful exposition of mathematical works done by the authors, 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 nonlinear 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 1377.26021, 2018)

Textul de pe ultima copertă

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.

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