Theory of Translation Closedness for Time Scales With Applications in Translation Functions and Dynamic Equations
This monograph establishes a theory of classification and translation closedness of time scales, a topic that was first studied by S. Hilger in 1988 to unify continuous and discrete analysis. The authors develop a theory of translation function on time scales that contains (piecewise) almost periodi...
Main Authors: | , , , |
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Format: | eBook |
Language: | English |
Published: |
Cham
Springer International Publishing
2020, 2020
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Edition: | 1st ed. 2020 |
Series: | Developments in Mathematics
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Subjects: | |
Online Access: | |
Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Preface
- Preliminaries and Basic Knowledge on Time Scales
- A Classification of Closedness of Time Scales under Translations
- Almost Periodic Functions and Generalizations on Complete-Closed Time Scales
- Piecewise Almost Periodic Functions and Generalizations on Translation Time Scales
- Almost Automorphic Functions and Generalizations on Translation Time Scales
- Nonlinear Dynamic Equations on Translation Time Scales
- Impulsive Dynamic Equations on Translation Time Scales
- Almost Automorphic Dynamic Equations on Translation Time Scales
- Analysis of Dynamical System Models on Translation Time Scales
- Index