Open AccessOn nonlocal perturbation of the problem on eigenvalues of differentiation operator on a segment
Author(s) -
Nurlan Imanbaev
Publication year - 2021
Publication title -
vestnik udmurtskogo universiteta. matematika, mehanika, kompʹûternye nauki
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.354
H-Index - 8
eISSN - 2076-5959
pISSN - 1994-9197
DOI - 10.35634/vm210202
Subject(s) - mathematics , eigenvalues and eigenvectors , perturbation (astronomy) , mathematical analysis , boundary value problem , differential operator , spectrum (functional analysis) , operator (biology) , differential equation , physics , quantum mechanics , biochemistry , chemistry , repressor , transcription factor , gene
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.