Integral and Discrete Inequalities and Their Applications
Springer International Publishing (Verlag)
978-3-319-33300-7 (ISBN)
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.
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.
| Erscheinungsdatum | 22.10.2016 |
|---|---|
| Zusatzinfo | XVI, 989 p. 9 illus. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Difference and Functional Equations • Gronwall-Bellman inequality • Integral equations • linear Multi-dimensional continuous integral inequ • linear Multi-dimensional continuous integral inequalities • linear Multi-dimensional discontinuous integral in • linear Multi-dimensional discontinuous integral inequalities • linear Multi-dimensional discrete inequalities • linear one-dimensional continuous integral inequal • linear one-dimensional continuous integral inequalities • linear one-dimensional discontinuous integral ineq • linear one-dimensional discontinuous integral inequalities • linear one-dimensional discrete inequalities • mathematics and statistics • Ordinary differential equations • Partial differential equations • real functions |
| ISBN-10 | 3-319-33300-3 / 3319333003 |
| ISBN-13 | 978-3-319-33300-7 / 9783319333007 |
| Zustand | Neuware |
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