Integral and discrete inequalities and their applications Volume I, Linear inequalities /

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...

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Bibliographic Details
Main Author: Qin, Yuming (Author)
Format: Book
Language:English
Published: Switzerland : Birkhäuser, 2016
Switzerland : Birkhäuser, 2016
Subjects:
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245 1 0 |a Integral and discrete inequalities and their applications  |n Volume I,   |p Linear inequalities /  |c Yuming Qin. 
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505 0 |a 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 
520 |a 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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