UID:
edocfu_9961117614402883
Format:
1 online resource (XXX, 546 p.)
ISBN:
9783111233871
Series Statement:
De Gruyter Studies in Mathematics , 95
Content:
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.
Note:
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
,
Issued also in print.
,
In English.
Additional Edition:
ISBN 9783111234175
Additional Edition:
ISBN 9783111233031
Language:
English
DOI:
10.1515/9783111233871
URL:
https://doi.org/10.1515/9783111233871
URL:
https://www.degruyter.com/isbn/9783111233871
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