Metrical Almost Periodicity and Applications to Integro-Differential Equations /

Metrical Almost Periodicity and Applications to Integro-Differential Equations / / Marko Kostić.

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 th...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
VerfasserIn:
Kostić, Marko,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2023]
©2023
Year of Publication:2023
Language:English
Series:De Gruyter Studies in Mathematics , 95
Online Access:
Physical Description:1 online resource (XXX, 546 p.)
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Table of Contents:
  • Frontmatter
  • Preface
  • Introduction
  • Contents
  • Notation
  • 1 Preliminaries
  • Part I: Multi-dimensional ρ-almost periodicity
  • Introduction
  • 2 Multi-dimensional ρ-almost periodic type functions and their Stepanov generalizations
  • 3 Multi-dimensional ρ-almost periodic type functions: Weyl, Besicovitch and Doss generalizations
  • Part II: Metrical ρ-almost periodicity
  • Introduction
  • 4 Metrically ρ-almost periodic type functions and applications
  • 5 Asymptotical ρ-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

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