On Stepanov almost-periodic oscillations and their discretizations

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F12%3A33138552" target="_blank" >RIV/61989592:15310/12:33138552 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1080/10236198.2011.587813" target="_blank" >http://dx.doi.org/10.1080/10236198.2011.587813</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/10236198.2011.587813" target="_blank" >10.1080/10236198.2011.587813</a>

Result language

angličtina

Original language name

On Stepanov almost-periodic oscillations and their discretizations

Original language description

The relationship between Carathéodory almost-periodic solutions and their discretizations is clarified for differential equations and inclusions in Banach spaces. Our investigation was stimulated by an old result of G. H. Meisters about Bohr almost-periodic solutions which we generalize in several directions. Unlike for functions, Stepanov and Bohr almost-periodic sequences are shown to coincide. A particular attention is paid to purely (i.e. non-uniformly continuous) Stepanov almost-periodic solutions.Many ideas are explained in detail by means of illustrating examples.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2012

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Difference Equations and Applications

ISSN

1023-6198

e-ISSN

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Volume of the periodical

18

Issue of the periodical within the volume

10

Country of publishing house

GB - UNITED KINGDOM

Number of pages

18

Pages from-to

1665-1682

UT code for WoS article

000309279900004

EID of the result in the Scopus database

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