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Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales

Authors: Adivar, Murat, Raffoul, Youssef

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  • Synthesizes the theoretical aspect of functional dynamical systems and its applications to Volterra integrals and integro-dynamical systems on time scales
  • Presents detailed proofs of theorems
  • Allows use with mixed-level classes through accessible presentation
  • Invites further study and scholarship through open problems at the end of each chapter
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eBook $89.00
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  • ISBN 978-3-030-42117-5
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Hardcover $119.99
price for USA
  • ISBN 978-3-030-42116-8
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About this book

Motivated by recent increased activity of research on time scales, the book  provides a systematic approach to the study of the qualitative theory of boundedness, periodicity and stability of Volterra integro-dynamic equations on time scales. Researchers and graduate students who are interested in the method of Lyapunov functions/functionals, in the study of boundedness of solutions, in the stability of the zero solution, or in the existence of periodic solutions should be able to use this book as a primary reference and as a resource of latest findings. This book contains many open problems and should be of great benefit to those who are pursuing research in dynamical systems or in Volterra integro-dynamic equations on time scales with or without delays. Great efforts were made to present rigorous and detailed proofs of theorems. The book should serve as an encyclopedia on the construction of Lyapunov functionals in analyzing solutions of dynamical systems on time scales. The book is suitable for a graduate course in the format of graduate seminars or as special topics course on dynamical systems.

The book should be of interest to investigators in biology, chemistry, economics, engineering, mathematics and physics.

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $89.00
price for USA
  • ISBN 978-3-030-42117-5
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA
  • ISBN 978-3-030-42116-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales
Authors
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-42117-5
DOI
10.1007/978-3-030-42117-5
Hardcover ISBN
978-3-030-42116-8
Edition Number
1
Number of Pages
XIV, 416
Number of Illustrations
2 b/w illustrations, 1 illustrations in colour
Topics

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