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This article is cited in 2 scientific papers (total in 2 papers)
On continuity of the spectrum of a singular quasi-differential operator with respect to a parameter
Kh. K. Ishkin Department of Mechanics and Mathematics, Bashkir State University, Ufa, Bashkortostan
Abstract:
We obtain sufficient conditions for continuity of the eigenvalues of semibounded quasi-differential operators of order $2n$ on the half-axis with respect to the parameters that appear in the corresponding differential expression. In addition we obtain a generalization of the well-known result of M. G. Krein [9] concerning description of the quadratic form of a regular quasi-differential operator in the singular case, when the deficiency indices of the minimal operator are equal to $(n,n)$.
Keywords and phrases:
quadratic form of a quasi-differential operators, continuity of eigenvalues with respect to parameters.
Received: 25.01.2011
Citation:
Kh. K. Ishkin, “On continuity of the spectrum of a singular quasi-differential operator with respect to a parameter”, Eurasian Math. J., 2:3 (2011), 67–81
Linking options:
https://www.mathnet.ru/eng/emj62 https://www.mathnet.ru/eng/emj/v2/i3/p67
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Abstract page: | 307 | Full-text PDF : | 91 | References: | 45 |
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