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Shadowing along subsequences for continuous mappings. / Kryzhevich, S.G.

In: Vestnik St. Petersburg University: Mathematics, No. 3, 2014, p. 102-104.

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Kryzhevich, SG 2014, 'Shadowing along subsequences for continuous mappings', Vestnik St. Petersburg University: Mathematics, no. 3, pp. 102-104. https://doi.org/10.3103/S1063454114030042

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Author

Kryzhevich, S.G. / Shadowing along subsequences for continuous mappings. In: Vestnik St. Petersburg University: Mathematics. 2014 ; No. 3. pp. 102-104.

BibTeX

@article{20ceb35175534afe826173264d267655,
title = "Shadowing along subsequences for continuous mappings",
abstract = "{\textcopyright} Allerton Press, Inc., 2014. We prove a result concerning the presence of “partial” shadowing for mappings of the most general form. We demonstrate that, for any mapping of a metric compact set into itself and any sufficiently precise pseudotrajectory, there exists an infinite subsequence of some trajectory that pointwise approximates the subsequence of the pseudotrajectory in question with the same indices.",
author = "S.G. Kryzhevich",
year = "2014",
doi = "10.3103/S1063454114030042",
language = "English",
pages = "102--104",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "3",

}

RIS

TY - JOUR

T1 - Shadowing along subsequences for continuous mappings

AU - Kryzhevich, S.G.

PY - 2014

Y1 - 2014

N2 - © Allerton Press, Inc., 2014. We prove a result concerning the presence of “partial” shadowing for mappings of the most general form. We demonstrate that, for any mapping of a metric compact set into itself and any sufficiently precise pseudotrajectory, there exists an infinite subsequence of some trajectory that pointwise approximates the subsequence of the pseudotrajectory in question with the same indices.

AB - © Allerton Press, Inc., 2014. We prove a result concerning the presence of “partial” shadowing for mappings of the most general form. We demonstrate that, for any mapping of a metric compact set into itself and any sufficiently precise pseudotrajectory, there exists an infinite subsequence of some trajectory that pointwise approximates the subsequence of the pseudotrajectory in question with the same indices.

U2 - 10.3103/S1063454114030042

DO - 10.3103/S1063454114030042

M3 - Article

SP - 102

EP - 104

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 3

ER -

ID: 7062088