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Kazakhstan Almaty; Shymkent
Year
2021
Volume
31
Issue
2
Pages
186-193
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Section Mathematics
Title On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment
Author(-s) Imanbaev N.S.ab
Affiliations Institute of Mathematics and Mathematical Modeling, Kazakhstana, South Kazakhstan State Pedagogical Universityb
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
UDC 517.927.5
MSC 35M10, 35M20
DOI 10.35634/vm210202
Received 28 February 2021
Language English
Citation Imanbaev N.S. On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment, Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2021, vol. 31, issue 2, pp. 186-193.
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