On nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment
Imanbaev N.S.
2021Udmurt State University
Vestnik Udmurtskogo Universiteta: Matematika, Mekhanika, Kompyuternye Nauki
2021#31Issue 2186 - 193 pp.
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.
Asymptotics , Boundary value conditions , Characteristic polynomial , Differentiation operator , Eigenvalues , Entire functions , Function of bounded variation , Integral perturbation , Zeros
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Department of Mathematics, South Kazakhstan State Pedagogical University, ul. Akhmeta Baitursynova, 13, Shymkent, 160000, Kazakhstan
Institute of Mathematics and Mathematical Modeling, ul. Pushkina, 125, Almaty, 050010, Kazakhstan
Department of Mathematics
Institute of Mathematics and Mathematical Modeling
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