Téléchargez le livre : Combined Measure and Shift Invariance Theory of Time Scales and Applications

Combined Measure and Shift Invariance Theory of Time Scales and Applications

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Éditeur :

Springer


Collection :

Developments in Mathematics

Paru le : 2022-09-22

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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.
Pages
434 pages
Collection
Developments in Mathematics
Parution
2022-09-22
Marque
Springer
EAN papier
9783031116186
EAN PDF
9783031116193
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
43
Taille du fichier
4639 Ko
Prix
105,49 €
EAN EPUB
9783031116193
Informations sur l'ebook
Nombre pages copiables
4
Nombre pages imprimables
43
Taille du fichier
42650 Ko
Prix
105,49 €

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