Overview
- Establishes a theory of classification and translation closedness of time scales
- Explores its use in practical model scenarios, like Nicholson`s blowfiles model, the Lasota-Wazewska model, the Keynesian-Cross model and others
- Provides the theoretical background necessary for accurate mathematical modeling in physics, chemical technology, population dynamics, biotechnology and economics, neural networks and social sciences
Part of the book series: Developments in Mathematics (DEVM, volume 62)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
Keywords
About this book
The theory presented allows many useful applications, such as in the Nicholson`s blowfiles model; the Lasota-Wazewska model; the Keynesian-Cross model; in those realistic dynamical models with a more complex hibrid domain, considered under different types of translation closedness of time scales; and in dynamic equations on mathematical models which cover neural networks. This book provides readers with the theoretical background necessary for accurate mathematical modeling in physics, chemical technology, population dynamics, biotechnology and economics, neural networks, and social sciences.
Authors and Affiliations
About the authors
Ravi P. Agarwal is a Professor at the Texas A&M University in Kingsville, USA. He is also a Distinguished University Professor of Mathematics at the Florida Institute of Technology, Melbourne, FL, USA. He completed his PhD at the Indian Institute of Technology, India. Dr. Agarwal has authored, co-authored or co-edited over 60 books, including "An Introduction to Ordinary Differential Equations" (978-9-387-71275-8) and "Ordinary and Partial Differential Equations" (978-0-387-79145-6), both co-authored by Donal O`Regan and published by Springer.
Donal O'Regan is a Professor at the School of Mathematics of the National University of Ireland. His research interests are in nonlinear functional analysis. His previous publications with Springer include "Constant-Sign Solutions of Systems of Integral Equations" (978-3-319-01254-4) and "Fixed Point Theory for Lipschitzian-type Mappings with Applications" (978-0-387-75817-6), both as a co-author.
Rathinasamy Sakthivel is a Professor at the Department of Applied Mathematics, Bharathiar University, India. He completed his Ph.D. at Bharathiar University, India. His research focuses on the fields of systems and control theory, differential and integral equations, fractional differential equations and numerical methods for PDEs. He is an active editorial board member of several journals, including IEEE Access, Journal of the Franklin Institute, Neurocomputing, Journal of Electrical Engineer.
Bibliographic Information
Book Title: Theory of Translation Closedness for Time Scales
Book Subtitle: With Applications in Translation Functions and Dynamic Equations
Authors: Chao Wang, Ravi P. Agarwal, Donal O' Regan, Rathinasamy Sakthivel
Series Title: Developments in Mathematics
DOI: https://doi.org/10.1007/978-3-030-38644-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Hardcover ISBN: 978-3-030-38643-6Published: 06 May 2020
Softcover ISBN: 978-3-030-43406-9Published: 06 May 2021
eBook ISBN: 978-3-030-38644-3Published: 05 May 2020
Series ISSN: 1389-2177
Series E-ISSN: 2197-795X
Edition Number: 1
Number of Pages: XVI, 577
Number of Illustrations: 9 b/w illustrations, 8 illustrations in colour
Topics: Difference and Functional Equations, Abstract Harmonic Analysis, Mathematical Modeling and Industrial Mathematics, Real Functions