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 Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2021, Volume 31, Issue 2, Pages 186–193 (Mi vuu763)

MATHEMATICS

On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment

N. S. Imanbaevab

a South Kazakhstan State Pedagogical University, ul. Akhmeta Baitursynova, 13, Shymkent, 160000, Kazakhstan
b Institute of Mathematics and Mathematical Modeling, ul. Pushkina, 125, Almaty, 050010, Kazakhstan

Abstract: This work is devoted to the construction of a characteristic polynomial of the spectral problem of a first-order differential equation on an interval with a spectral parameter in a boundary value condition with integral perturbation which is an entire analytic function of the spectral parameter. Based on the characteristic polynomial formula, conclusions about the asymptotics of the spectrum of the perturbed spectral problem are established.

Keywords: differentiation operator, boundary value conditions, integral perturbation, function of bounded variation, characteristic polynomial, entire functions, zeros, eigenvalues, asymptotics.

 Funding Agency Grant Number Ministry of Education and Science of the Republic of Kazakhstan AP09260752 This research has been funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09260752).

DOI: https://doi.org/10.35634/vm210202

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Bibliographic databases:

UDC: 517.927.5
MSC: 35M10, 35M20
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Citation: N. S. Imanbaev, “On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:2 (2021), 186–193

Citation in format AMSBIB
\Bibitem{Ima21} \by N.~S.~Imanbaev \paper On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment \jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki \yr 2021 \vol 31 \issue 2 \pages 186--193 \mathnet{http://mi.mathnet.ru/vuu763} \crossref{https://doi.org/10.35634/vm210202} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000668895900002}