Description
Integral and Discrete Inequalities and Their Applications, Softcover reprint of the original 1st ed. 2016
Volume I: Linear Inequalities
Author: Qin Yuming
Language: English
Keywords
linear one-dimensional continuous integral inequalities; linear one-dimensional discrete inequalities; linear one-dimensional discontinuous integral inequalities; linear multi-dimensional continuous integral inequalities; linear multi-dimensional discrete inequalities; linear multi-dimensional discontinuous integral inequalities; Gronwall-Bellman inequality; ordinary differential equations; partial differential equations
Publication date: 10-2016
Support: Print on demand
Publication date: 06-2018
Support: Print on demand
Description
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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.
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
