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Metrical Almost Periodicity and Applications to Integro-Differential Equations
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Marko Kostić
Language:
English
Published/Copyright:
2023
About this book
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.
- Investigates multi-dimensional $\rho$-almost periodic functions.
- Covers almost periodic solutions for various classes of abstract impulsive Volterra integro-differential inclusions.
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Topics
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Frontmatter
I -
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Preface
V -
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Introduction
VII -
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Contents
XXIII -
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Notation
XXIX -
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1 Preliminaries
1 - Part I: Multi-dimensional ρ-almost periodicity
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Introduction
15 -
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2 Multi-dimensional ρ-almost periodic type functions and their Stepanov generalizations
17 -
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3 Multi-dimensional ρ-almost periodic type functions: Weyl, Besicovitch and Doss generalizations
104 - Part II: Metrical ρ-almost periodicity
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Introduction
233 -
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4 Metrically ρ-almost periodic type functions and applications
235 -
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5 Asymptotical ρ-almost periodicity in general metric
288 -
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6 Metrical approximations of functions
318 -
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7 Special classes of metrically almost periodic functions
371 - Part III: Almost periodic type solutions to integro-differential inclusions
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Introduction
425 -
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8 Abstract fractional equations with proportional Caputo fractional derivatives
427 -
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9 Almost periodic type solutions to abstract impulsive Volterra integro-differential inclusions
452 -
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Bibliography
503 -
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Index
537
Publishing information
Pages and Images/Illustrations in book
eBook published on:
June 6, 2023
eBook ISBN:
9783111233871
Hardcover published on:
June 6, 2023
Hardcover ISBN:
9783111233031
Pages and Images/Illustrations in book
Front matter:
30
Main content:
546
Keywords for this book
Almost periodic functions; almost automorphic functions; metrically almost periodic functions; abstract volterra integro-differential inclusions; abstract impulsive Volterra integro-differential inclusions.
Audience(s) for this book
Libraries and reseachers in the fields of functional analysis, almost periodicity and partial differential equations
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
