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Theory of translation closedness for...

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Theory of translation closedness for time scaleswith applications in translation functions and dynamic equations /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Theory of translation closedness for time scalesby Chao Wang ... [et al.].
其他題名:	with applications in translation functions and dynamic equations /
其他作者:	Wang, Chao.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xvi, 577 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Periodic functions.
電子資源:	https://doi.org/10.1007/978-3-030-38644-3
ISBN:	9783030386443$q(electronic bk.)

Theory of translation closedness for time scaleswith applications in translation functions and dynamic equations /
Theory of translation closedness for time scaleswith applications in translation functions and dynamic equations /[electronic resource] :by Chao Wang ... [et al.]. - Cham :Springer International Publishing :2020. - xvi, 577 p. :ill., digital ;24 cm. - Developments in mathematics,v.621389-2177 ;. - Developments in mathematics ;v.25..

Preface -- Preliminaries and Basic Knowledge on Time Scales -- A Classification of Closedness of Time Scales under Translations -- Almost Periodic Functions and Generalizations on Complete-Closed Time Scales -- Piecewise Almost Periodic Functions and Generalizations on Translation Time Scales -- Almost Automorphic Functions and Generalizations on Translation Time Scales -- Nonlinear Dynamic Equations on Translation Time Scales -- Impulsive Dynamic Equations on Translation Time Scales -- Almost Automorphic Dynamic Equations on Translation Time Scales -- Analysis of Dynamical System Models on Translation Time Scales -- Index.

This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodic functions, (piecewise) almost automorphic functions and their related generalization functions (e.g., pseudo almost periodic functions, weighted pseudo almost automorphic functions, and more) Against the background of dynamic equations, these function theories on time scales are applied to study 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 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.

ISBN: 9783030386443$q(electronic bk.)

Standard No.: 10.1007/978-3-030-38644-3doiSubjects--Topical Terms:

357418
Periodic functions.

LC Class. No.: QA353.P4

Dewey Class. No.: 515.39

Theory of translation closedness for time scaleswith applications in translation functions and dynamic equations /
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505 0 $a Preface -- Preliminaries and Basic Knowledge on Time Scales -- A Classification of Closedness of Time Scales under Translations -- Almost Periodic Functions and Generalizations on Complete-Closed Time Scales -- Piecewise Almost Periodic Functions and Generalizations on Translation Time Scales -- Almost Automorphic Functions and Generalizations on Translation Time Scales -- Nonlinear Dynamic Equations on Translation Time Scales -- Impulsive Dynamic Equations on Translation Time Scales -- Almost Automorphic Dynamic Equations on Translation Time Scales -- Analysis of Dynamical System Models on Translation Time Scales -- Index.
520 $a This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodic functions, (piecewise) almost automorphic functions and their related generalization functions (e.g., pseudo almost periodic functions, weighted pseudo almost automorphic functions, and more) Against the background of dynamic equations, these function theories on time scales are applied to study 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 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.
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