Combined Measure and Shift Invariance Theory of Time Scales and Applications Paperback / softback
by Chao Wang, Ravi P. Agarwal
Part of the Developments in Mathematics series
Paperback / softback
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Description
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.
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Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:434 pages, 2 Illustrations, black and white; XVI, 434 p. 2 illus.
- Publisher:Springer International Publishing AG
- Publication Date:25/09/2023
- Category:
- ISBN:9783031116216
Other Formats
- Hardback from £63.29
- EPUB from £76.08
Information
-
Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:434 pages, 2 Illustrations, black and white; XVI, 434 p. 2 illus.
- Publisher:Springer International Publishing AG
- Publication Date:25/09/2023
- Category:
- ISBN:9783031116216