Metrical Almost Periodicity and Applications to Integro-Differential Equations / / 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 metrically almost periodic type functions with values in complex Banach spaces. We provide many applications of our theoretical results to th...
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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2023 |
Year of Publication: | 2023 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
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Physical Description: | 1 online resource (XXX, 546 p.) |
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Kostić, Marko, author. aut http://id.loc.gov/vocabulary/relators/aut Metrical Almost Periodicity and Applications to Integro-Differential Equations / Marko Kostić. Berlin ; Boston : De Gruyter, [2023] ©2023 1 online resource (XXX, 546 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 95 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Mrz 2024) Abstract impulsive Volterra integro-differential inclusions. Abstrakte Volterra-Ganzzahl-Differential-Einschlüsse. Fast automorphe Funktionen. Fast periodische Funktionen. Metrisch nahezu periodische Funktionen. Almost periodic functions, almost automorphic functions, metrically almost periodic functions, abstract volterra integro-differential inclusions. abstract impulsive Volterra integro-differential inclusions. Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 9783111175782 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English 9783111319292 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 9783111318912 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English 9783111319209 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 9783111318608 ZDB-23-DMA EPUB 9783111234175 print 9783111233031 https://doi.org/10.1515/9783111233871 https://www.degruyter.com/isbn/9783111233871 Cover https://www.degruyter.com/document/cover/isbn/9783111233871/original |
language |
English |
format |
eBook |
author |
Kostić, Marko, Kostić, Marko, |
spellingShingle |
Kostić, Marko, Kostić, Marko, Metrical Almost Periodicity and Applications to Integro-Differential Equations / De Gruyter Studies in Mathematics , 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 |
author_facet |
Kostić, Marko, Kostić, Marko, |
author_variant |
m k mk m k mk |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Kostić, Marko, |
title |
Metrical Almost Periodicity and Applications to Integro-Differential Equations / |
title_full |
Metrical Almost Periodicity and Applications to Integro-Differential Equations / Marko Kostić. |
title_fullStr |
Metrical Almost Periodicity and Applications to Integro-Differential Equations / Marko Kostić. |
title_full_unstemmed |
Metrical Almost Periodicity and Applications to Integro-Differential Equations / Marko Kostić. |
title_auth |
Metrical Almost Periodicity and Applications to Integro-Differential Equations / |
title_alt |
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 |
title_new |
Metrical Almost Periodicity and Applications to Integro-Differential Equations / |
title_sort |
metrical almost periodicity and applications to integro-differential equations / |
series |
De Gruyter Studies in Mathematics , |
series2 |
De Gruyter Studies in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2023 |
physical |
1 online resource (XXX, 546 p.) Issued also in print. |
contents |
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 |
isbn |
9783111233871 9783111175782 9783111319292 9783111318912 9783111319209 9783111318608 9783111234175 9783111233031 |
issn |
0179-0986 ; |
url |
https://doi.org/10.1515/9783111233871 https://www.degruyter.com/isbn/9783111233871 https://www.degruyter.com/document/cover/isbn/9783111233871/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
515 - Analysis |
dewey-full |
515.35 |
dewey-sort |
3515.35 |
dewey-raw |
515.35 |
dewey-search |
515.35 |
doi_str_mv |
10.1515/9783111233871 |
oclc_num |
1380729715 |
work_keys_str_mv |
AT kosticmarko metricalalmostperiodicityandapplicationstointegrodifferentialequations |
status_str |
n |
ids_txt_mv |
(DE-B1597)650522 (OCoLC)1380729715 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 |
is_hierarchy_title |
Metrical Almost Periodicity and Applications to Integro-Differential Equations / |
container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 |
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1806144937851355136 |
fullrecord |
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