Combined Measure and Shift Invariance Theory of Time Scales and Applications
indgår i Developments in Mathematics serien
- Indbinding:
- Paperback
- Sideantal:
- 452
- Udgivet:
- 25. september 2023
- Udgave:
- 23001
- Størrelse:
- 155x25x235 mm.
- Vægt:
- 680 g.
- 8-11 hverdage.
- 16. januar 2025
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Beskrivelse af Combined Measure and Shift Invariance Theory of Time Scales and Applications
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.
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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Bogen Combined Measure and Shift Invariance Theory of Time Scales and Applications findes i følgende kategorier:
- Business og læring
- Matematik og naturvidenskab > Matematik > Regning og matematisk analyse > Reel analyse, reelle variabler
- Matematik og naturvidenskab > Matematik > Regning og matematisk analyse > Funktionsanalyse og transformation
- Matematik og naturvidenskab > Matematik > Regning og matematisk analyse > Differentialregning og differentialligninger
- Matematik og naturvidenskab > Matematik > Regning og matematisk analyse > Integralregning og integralligninger
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