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...

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Bibliographic Details
Main Authors: Wang, Chao, Agarwal, Ravi P. (Author), O' Regan, Donal (Author), Sakthivel, Rathinasamy (Author)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2020, 2020
Edition:1st ed. 2020
Series:Developments in Mathematics
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