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Functional Dynamic Equations on Time Scales

  • 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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Table of contents (15 chapters)

  1. Front Matter

    Pages i-x
  2. Calculus on Time Scales

    • Svetlin G. Georgiev
    Pages 1-36
  3. Dynamic Systems

    • Svetlin G. Georgiev
    Pages 37-98
  4. Linear Functional Dynamic Equations

    • Svetlin G. Georgiev
    Pages 141-159
  5. Stability for First-Order Functional Dynamic Equations

    • Svetlin G. Georgiev
    Pages 161-254
  6. Shift Operators

    • Svetlin G. Georgiev
    Pages 749-780
  7. Impulsive Functional Dynamic Equations

    • Svetlin G. Georgiev
    Pages 781-817
  8. Linear Impulsive Dynamic Systems

    • Svetlin G. Georgiev
    Pages 819-835
  9. Back Matter

    Pages 837-885

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.

Reviews

“This is a complete and interesting book concerning functional dynamic equations on time scales. This book has 15 chapters and 5 appendixes, there are almost 900 pages with a precious content of the theory of time scales ... . This book will be very useful for all mathematicians that work with theory of time scales ... . Also, it can be used as a reference in courses of graduate level.” (Jaqueline Godoy Mesquita, zbMATH 1510.34001, 2023)

Authors and Affiliations

  • Faculty of Mathematics & Informatics, Sofia University St. Kliment Ohridski, Sorbonne University, Paris, France, Sofia, Bulgaria

    Svetlin G. Georgiev

About the author

Svetlin Georgiev is in the Department of Differential Equations of the Faculty of Mathematics and Informatics at Sofia University, Bulgaria.

Bibliographic Information

  • Book Title: Functional Dynamic Equations on Time Scales

  • Authors: Svetlin G. Georgiev

  • DOI: https://doi.org/10.1007/978-3-030-15420-2

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer Nature Switzerland AG 2019

  • Hardcover ISBN: 978-3-030-15419-6Published: 14 May 2019

  • eBook ISBN: 978-3-030-15420-2Published: 03 May 2019

  • Edition Number: 1

  • Number of Pages: X, 885

  • Number of Illustrations: 14 illustrations in colour

  • Topics: Functional Analysis

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access