Functional Dynamic Equations on Time Scales

Authors: Georgiev, Svetlin

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  • 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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  • ISBN 978-3-030-15420-2
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About this book

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

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)

Table of contents (15 chapters)
  • Calculus on Time Scales

    Pages 1-36

    Georgiev, Svetlin G.

  • Dynamic Systems

    Pages 37-98

    Georgiev, Svetlin G.

  • Functional Dynamic Equations. Basic Concepts, Existence, and Uniqueness Theorems

    Pages 99-139

    Georgiev, Svetlin G.

  • Linear Functional Dynamic Equations

    Pages 141-159

    Georgiev, Svetlin G.

  • Stability for First-Order Functional Dynamic Equations

    Pages 161-254

    Georgiev, Svetlin G.

Buy this book

eBook n/a
  • ISBN 978-3-030-15420-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
Hardcover n/a
  • ISBN 978-3-030-15419-6
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Functional Dynamic Equations on Time Scales
Authors
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