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Спектральные асимптотики для задач с интегральными ограничениями. / Петрова, Юлия Петровна.

In: Mathematical Notes, Vol. 102, No. 3-4, 01.09.2017, p. 369-377.

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@article{3919bbef69d642b3909d8736ef90beac,
title = "Спектральные асимптотики для задач с интегральными ограничениями",
abstract = "The eigenvalue problem for differential operators of arbitrary order with integral constraints is considered. The asymptotics of the eigenvalues is obtained. The results are applied to finding the asymptotics of the probability of small deviations for some detrended processes of nth order.",
keywords = "Gaussian process, small deviation, spectral asymptotics",
author = "Петрова, {Юлия Петровна}",
year = "2017",
month = sep,
day = "1",
doi = "10.1134/S0001434617090073",
language = "русский",
volume = "102",
pages = "369--377",
journal = "Mathematical Notes",
issn = "0001-4346",
publisher = "Pleiades Publishing",
number = "3-4",

}

RIS

TY - JOUR

T1 - Спектральные асимптотики для задач с интегральными ограничениями

AU - Петрова, Юлия Петровна

PY - 2017/9/1

Y1 - 2017/9/1

N2 - The eigenvalue problem for differential operators of arbitrary order with integral constraints is considered. The asymptotics of the eigenvalues is obtained. The results are applied to finding the asymptotics of the probability of small deviations for some detrended processes of nth order.

AB - The eigenvalue problem for differential operators of arbitrary order with integral constraints is considered. The asymptotics of the eigenvalues is obtained. The results are applied to finding the asymptotics of the probability of small deviations for some detrended processes of nth order.

KW - Gaussian process

KW - small deviation

KW - spectral asymptotics

UR - http://www.scopus.com/inward/record.url?scp=85032268468&partnerID=8YFLogxK

U2 - 10.1134/S0001434617090073

DO - 10.1134/S0001434617090073

M3 - статья

AN - SCOPUS:85032268468

VL - 102

SP - 369

EP - 377

JO - Mathematical Notes

JF - Mathematical Notes

SN - 0001-4346

IS - 3-4

ER -

ID: 35814737