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This article is cited in 8 scientific papers (total in 8 papers)
Research Papers
On the asymptotics of eigenvalues of a third-order differential operator
I. N. Braeutigama, D. M. Polyakovbc a Northern (Arctic) Federal University named after M. V. Lomonosov, Arkhangelsk
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
c Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz
Abstract:
We consider a third-order nonselfadjoint differential operator with square summable coefficients whose domain is defined by quasiperiodic boundary conditions. For this operator, using the method of similar operators, we obtain an asymptotic behavior of eigenvalues, estimates of the deviations of spectral projections, and the equiconvergence of spectral decompositions.
Keywords:
third-order differential operator, spectrum, asymptotic behavior of eigenvalues, equiconvergence of spectral decompositions.
Received: 17.05.2018
Citation:
I. N. Braeutigam, D. M. Polyakov, “On the asymptotics of eigenvalues of a third-order differential operator”, Algebra i Analiz, 31:4 (2019), 16–47; St. Petersburg Math. J., 31:4 (2020), 585–606
Linking options:
https://www.mathnet.ru/eng/aa1661 https://www.mathnet.ru/eng/aa/v31/i4/p16
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Abstract page: | 445 | Full-text PDF : | 57 | References: | 69 | First page: | 49 |
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