Integral and Discrete Inequalities and Their Applications

Integral and Discrete Inequalities and Their Applications
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Volume I: Linear Inequalities
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Artikel-Nr:
9783319333007
Veröffentl:
2016
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
14.10.2016
Seiten:
1008
Autor:
Yuming Qin
Gewicht:
1654 g
Format:
241x160x59 mm
Sprache:
Englisch
Beschreibung:

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
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.

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