Overview

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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9783319814827

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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)

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