Chao Wang,Ravi P. Agarwal,Donal O' Regan,Rathinasamy Sakthivel
Theory of Translation Closedness for Time Scales: With Applications in Translation Functions and Dynamic Equations
Theory of Translation Closedness for Time Scales: With Applications in Translation Functions and Dynamic Equations
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- More about Theory of Translation Closedness for Time Scales: With Applications in Translation Functions and Dynamic Equations
This book develops a theory of classification and translation closedness of time scales,which is applied to study the dynamical behavior of solutions for various types of dynamic equations on hybrid domains. It 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.
Format: Paperback / softback
Length: 577 pages
Publication date: 06 May 2021
Publisher: Springer Nature Switzerland AG
This monograph presents a comprehensive theory of classification and translation closedness of time scales, a subject initially explored by S. Hilger in 1988 with the aim of unifying continuous and discrete analysis. The authors develop a theory of translation functions on time scales that encompasses a wide range of functions, including (piecewise) almost periodic functions, (piecewise) almost automorphic functions, and their related generalization functions such as pseudo-almost periodic functions, weighted pseudo-almost automorphic functions, and more. These function theories are applied against the backdrop of dynamic equations, studying the dynamical behavior of solutions for various types of dynamic equations on hybrid domains, including evolution equations, discontinuous equations, and impulsive integro-differential equations.
The theory presented in this book offers numerous practical applications, such as in the Nicholson's blowfiles model, the Lasota-Wazewska model, the Keynesian-Cross model, in realistic dynamical models with more complex hybrid domains considered under different types of translation closedness of time scales, and in dynamic equations on mathematical models that cover neural networks. By providing readers with a thorough theoretical foundation, this book equips them with the necessary skills for accurate mathematical modeling in fields such as physics, chemical technology, population dynamics, biotechnology, economics, neural networks, and social sciences.
Weight: 902g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030434069
Edition number: 1st ed. 2020
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