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Matematicheskie Zametki, 2011, Volume 90, Issue 6, Pages 833–844
DOI: https://doi.org/10.4213/mzm8407 (Mi mzm8407) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Asymptotics of the Spectrum of Nonsmooth Perturbations of Differential Operators of Order $2m$

È. F. Akhmerova

Bashkir State University
Full-text PDF (448 kB) Citations (12)
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DOI: https://doi.org/10.4213/mzm8407
Abstract: On a finite closed interval, we obtain the asymptotics of the eigenvalues of a differential operator of order $2m$ perturbed by a differential operator of order $2m-2$ given by a quasidifferential expression. We also consider the case of multiple eigenvalues.
Keywords: perturbation of a differential operator, spectrum of perturbations, quasidifferential expression, Hilbert space, Dirichlet boundary conditions, resolvent of an operator.
Received: 27.04.2009
Revised: 25.02.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 6, Pages 813–823
DOI: https://doi.org/10.1134/S0001434611110216
Bibliographic databases:
Document Type: Article
UDC: 517.984
Language: Russian
Citation: È. F. Akhmerova, “Asymptotics of the Spectrum of Nonsmooth Perturbations of Differential Operators of Order $2m$”, Mat. Zametki, 90:6 (2011), 833–844; Math. Notes, 90:6 (2011), 813–823
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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