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Integral and Discrete Inequalities and Their Applications : Volume I: Linear Inequalities / by Yuming Qin.
Springer Nature - Springer Mathematics and Statistics eBooks 2016 English International Available online
View online- Format:
- Book
- Author/Creator:
- Qin, Yuming., Author.
- Language:
- English
- Subjects (All):
- Functions of real variables.
- Differential equations.
- Integral equations.
- Difference equations.
- Functional equations.
- Real Functions.
- Differential Equations.
- Integral Equations.
- Difference and Functional Equations.
- Local Subjects:
- Real Functions.
- Differential Equations.
- Integral Equations.
- Difference and Functional Equations.
- Physical Description:
- 1 online resource (XVI, 989 p. 9 illus.)
- Edition:
- 1st ed. 2016.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
- Summary:
- 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.
- Contents:
- 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.
- Notes:
- Includes bibliographical references and index.
- ISBN:
- 9783319333014
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