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Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales
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Catalogue Information
Field name
Details
Dewey Class
515.39
515.48
Title
Stability, Periodicity and Boundedness in Functional Dynamical Systems on Time Scales ([EBook]) / by Murat Adıvar, Youssef N. Raffoul.
Author
Adıvar, Murat
Added Personal Name
Raffoul, Youssef N.
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2020.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details
XIV, 416 p. 3 illus., 1 illus. in color. : online resource.
ISBN
9783030421175
Summary Note
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.:
Contents note
Introduction To Stability And Boundedness In Dynamical Systems -- Ordinary Dynamical Systems -- Functional Dynamical Systems -- Volterra Integro-dynamic Equations -- Exotic Lyapunov Functionals for Boundedness and Stability -- Volterra Integral Dynamic Eqations -- Periodic Solutions; The Natural Set up -- Periodicity Using Shift Periodic Operators -- .
Mode of acces to digital resource
Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-42117-5
Links to Related Works
Subject References:
Dynamical systems and ergodic theory
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Dynamics
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Ergodic theory
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Functions of real variables
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Real Functions
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Authors:
Adıvar, Murat
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author
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Raffoul, Youssef N.
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Corporate Authors:
SpringerLink (Online service)
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Classification:
515.39
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515.48
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