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.
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
\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{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000668895900002}
Linking options:
https://www.mathnet.ru/eng/vuu763
https://www.mathnet.ru/eng/vuu/v31/i2/p186
This publication is cited in the following 2 articles:
A. B. Imanbetova, A. A. Sarsenbi, B. N. Seilbekov, “Inverse problems for the beam vibration equation with involution”, Vestn. Udmurtsk. un-ta. Matem. Mekh. Kompyut. nauki, 33:3 (2023), 452–466
Nurlan IMANBAEV, “Distribution of eigenvalues of a perturbed differentiation operator on the interval”, Maltepe Journal of Mathematics, 5:2 (2023), 24
Citation in format AMSBIB
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