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

• 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
• Physical Description: 1 online resource (XXX, 546 p.)

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.

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