Combined Measure and Shift Invariance Theory of Time Scales and Applications EPUB
by Chao Wang, Ravi P. Agarwal
Part of the Developments in Mathematics series
EPUB
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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.
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- Format:EPUB
- Publisher:Springer International Publishing
- Publication Date:22/09/2022
- Category:
- ISBN:9783031116193
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Information
-
Download Now
- Format:EPUB
- Publisher:Springer International Publishing
- Publication Date:22/09/2022
- Category:
- ISBN:9783031116193