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  3. Reel analyse, reelle variabler

Combined Measure and Shift Invariance Theory of Time Scales and Applications

Af: Chao Wang, Ravi P. Agarwal Engelsk Hardback

Combined Measure and Shift Invariance Theory of Time Scales and Applications

Af: Chao Wang, Ravi P. Agarwal Engelsk Hardback
Tjek vores konkurrenters priser
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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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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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 434
ISBN-13: 9783031116186
Indbinding: Hardback
Udgave:
ISBN-10: 3031116186
Kategori: Reel analyse, reelle variabler
Udg. Dato: 24 sep 2022
Længde: 0mm
Bredde: 155mm
Højde: 235mm
Forlag: Springer International Publishing AG
Oplagsdato: 24 sep 2022
Forfatter(e): Chao Wang, Ravi P. Agarwal
Forfatter(e) Chao Wang, Ravi P. Agarwal

Kategori Reel analyse, reelle variabler

ISBN-13 9783031116186

Sprog Engelsk

Indbinding Hardback

Sider 434

Udgave

Længde 0mm

Bredde 155mm

Højde 235mm

Udg. Dato 24 sep 2022

Oplagsdato 24 sep 2022

Forlag Springer International Publishing AG

Kategori sammenhænge