Metrical almost periodicity and applications to integro-differential equations / Marko Kostić.

Format:

Book

Author/Creator:

Kostić, Marko, 1977- author.

Series:

De Gruyter studies in mathematics ; 0179-0986 95.

De Gruyter studies in mathematics, 0179-0986 ; v.95

Language:

English

Subjects (All):

Almost periodic functions.

Integro-differential equations.

Physical Description:

1 online resource (xxx, 543 pages)

Edition:

1st ed.

Place of Publication:

Berlin ; Boston : Walter de Gruyter GmbH, [2023].

Summary:

"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."--Provided by publisher.

Contents:

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.

Notes:

Includes bibliographical references (pages 503-535) and index.

Description based on online resource (viewed 8 Jan 2024), publisher supplied metadata and other sources.

ISBN:

9783111234175

3111234177

9783111233871

3111233871

OCLC:

1380729715