Combined measure and shift invariance theory of time scales and applications / Chao Wang, Ravi P. Agarwal.
2022
QA312
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Title
Combined measure and shift invariance theory of time scales and applications / Chao Wang, Ravi P. Agarwal.
Author
Wang, Chao, author.
ISBN
9783031116193 (electronic bk.)
3031116194 (electronic bk.)
9783031116186
3031116194 (electronic bk.)
9783031116186
Published
Cham : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource (xvi, 434 pages) : illustrations.
Item Number
10.1007/978-3-031-11619-3 doi
Call Number
QA312
Dewey Decimal Classification
515/.42
Summary
This monograph is devoted to developing a theory of combined measure and shift invariance of time scales with the related applications to shift functions and dynamic equations. The study of shift closeness of time scales is significant to investigate the shift functions such as the periodic functions, the almost periodic functions, the almost automorphic functions, and their generalizations with many relevant applications in dynamic equations on arbitrary time scales. First proposed by S. Hilger, the time scale theory-a unified view of continuous and discrete analysis-has been widely used to study various classes of dynamic equations and models in real-world applications. Measure theory based on time scales, in its turn, is of great power in analyzing functions on time scales or hybrid domains. As a new and exciting type of mathematics-and more comprehensive and versatile than the traditional theories of differential and difference equations-, the time scale theory can precisely depict the continuous-discrete hybrid processes and is an optimal way forward for accurate mathematical modeling in applied sciences such as physics, chemical technology, population dynamics, biotechnology, and economics and social sciences. Graduate students and researchers specializing in general dynamic equations on time scales can benefit from this work, fostering interest and further research in the field. It can also serve as reference material for undergraduates interested in dynamic equations on time scales. Prerequisites include familiarity with functional analysis, measure theory, and ordinary differential equations.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed September 28, 2022).
Added Author
Agarwal, Ravi P., author.
Series
Developments in mathematics ; v. 77. 2197-795X
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