- This books offers the reader an overview of recent developments of functional dynamic equations on time scales, taking readers beyond the traditional calculus texts.
- The book introduces functional dynamic equations in relation to mathematical physics applications and problems. Useful tools are provided for investigation for oscillations and nonoscillations of the solutions of functional dynamic equations on time scales.
- This book is suitable for graduate courses and researchers looking for an introduction to functional dynamic equations on time scales.
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- About this book
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This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations. It discusses functional dynamic equations in relation to mathematical physics applications and problems, providing useful tools for investigation for oscillations and nonoscillations of the solutions of functional dynamic equations on time scales. Practice problems are presented throughout the book for use as a graduate-level textbook and as a reference book for specialists of several disciplines, such as mathematics, physics, engineering, and biology.
- About the authors
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Svetlin Georgiev is in the Department of Differential Equations of the Faculty of Mathematics and Informatics at Sofia University, Bulgaria.
- Table of contents (15 chapters)
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Calculus on Time Scales
Pages 1-36
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Dynamic Systems
Pages 37-98
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Functional Dynamic Equations. Basic Concepts, Existence, and Uniqueness Theorems
Pages 99-139
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Linear Functional Dynamic Equations
Pages 141-159
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Stability for First-Order Functional Dynamic Equations
Pages 161-254
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Table of contents (15 chapters)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Functional Dynamic Equations on Time Scales
- Authors
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- Svetlin G. Georgiev
- Copyright
- 2019
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer Nature Switzerland AG
- eBook ISBN
- 978-3-030-15420-2
- DOI
- 10.1007/978-3-030-15420-2
- Hardcover ISBN
- 978-3-030-15419-6
- Edition Number
- 1
- Number of Pages
- X, 885
- Number of Illustrations
- 14 illustrations in colour
- Topics
