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.)
• Other title: Frontmatter --; Preface --; Introduction --; Contents --; Notation --; 1 Preliminaries --; Part I: Multi-dimensional ρ-almost periodicity --; 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 --; 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 --; 8 Abstract fractional equations with proportional Caputo fractional derivatives --; 9 Almost periodic type solutions to abstract impulsive Volterra integro-differential inclusions --; Bibliography --; Index
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783111233871; 9783111175782; 9783111319292; 9783111318912; 9783111319209; 9783111318608
• ISSN: 0179-0986
• DOI: 10.1515/9783111233871
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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 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.