Yuming Qin

Integral and Discrete Inequalities and Their Applications (eBook, PDF)

Volume I: Linear Inequalities

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 989
• Erscheinungstermin: 8. Oktober 2016
• Englisch
• ISBN-13: 9783319333014
• Artikelnr.: 46923082

Inhaltsangabe

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.

Rezensionen

"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)