Metrical Almost Periodicity and Applications to Integro-Differential Equations
1st Edition
Published on 6. June 2023
XXX, 546 pages
978-3-11-123387-1 (ISBN)
Description
The theory of almost periodic functions is a very active field of research for scholars. This research monograph analyzes various classes of multi-dimensional metrically almost periodic type functions with values in complex Banach spaces. We provide many applications of our theoretical results to the abstract Volterra integro-differential inclusions in Banach spaces.
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Content
- Intro
- Preface
- Introduction
- Contents
- Notation
- 1 Preliminaries
- Part I: Multi-dimensional ?-almost periodicity
- Introduction
- 2 Multi-dimensional ?-almost periodic type functions and their Stepanov generalizations
- 3 Multi-dimensional ?-almost periodic type functions: Weyl, Besicovitch and Doss generalizations
- Part II: Metrical ?-almost periodicity
- Introduction
- 4 Metrically ?-almost periodic type functions and applications
- 5 Asymptotical ?-almost periodicity in general metric
- 6 Metrical approximations of functions
- 7 Special classes of metrically almost periodic functions
- Part III: Almost periodic type solutions to integro-differential inclusions
- Introduction
- 8 Abstract fractional equations with proportional Caputo fractional derivatives
- 9 Almost periodic type solutions to abstract impulsive Volterra integro-differential inclusions
- Bibliography
- Index
