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Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems. / Slavyanov, S. Yu.

In: Journal of Mathematical Sciences, Vol. 128, No. 2, 01.07.2005, p. 2822-2824.

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Slavyanov, S. Yu. / Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems. In: Journal of Mathematical Sciences. 2005 ; Vol. 128, No. 2. pp. 2822-2824.

BibTeX

@article{1cb4bd1b79af46e5ab7a089b2b209197,
title = "Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems",
abstract = "The relationship between the eigenfunctions of a Fredholm-type integral equation with rapidly oscillating kernel and the dynamic mapping is analyzed. Differential operators commuting with the Fourier operator are constructed. These operators are closely related to nontrivial solutions of the unperturbed nonlinear functional equation related to the dynamic mapping.",
author = "Slavyanov, {S. Yu}",
year = "2005",
month = jul,
day = "1",
doi = "10.1007/s10958-005-0239-3",
language = "English",
volume = "128",
pages = "2822--2824",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Integral equations of Fredholm type with rapidly varying kernels and their relationship to dynamic systems

AU - Slavyanov, S. Yu

PY - 2005/7/1

Y1 - 2005/7/1

N2 - The relationship between the eigenfunctions of a Fredholm-type integral equation with rapidly oscillating kernel and the dynamic mapping is analyzed. Differential operators commuting with the Fourier operator are constructed. These operators are closely related to nontrivial solutions of the unperturbed nonlinear functional equation related to the dynamic mapping.

AB - The relationship between the eigenfunctions of a Fredholm-type integral equation with rapidly oscillating kernel and the dynamic mapping is analyzed. Differential operators commuting with the Fourier operator are constructed. These operators are closely related to nontrivial solutions of the unperturbed nonlinear functional equation related to the dynamic mapping.

UR - http://www.scopus.com/inward/record.url?scp=21544434353&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0239-3

DO - 10.1007/s10958-005-0239-3

M3 - Article

AN - SCOPUS:21544434353

VL - 128

SP - 2822

EP - 2824

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 36182609