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Eurasian Mathematical Journal, 2011, том 2, номер 3, страницы 67–81
(Mi emj62)
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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
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
Аннотация:
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 $(n,n)$.
Ключевые слова и фразы:
quadratic form of a quasi-differential operators, continuity of eigenvalues with respect to parameters.
Поступила в редакцию: 25.01.2011
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj62 https://www.mathnet.ru/rus/emj/v2/i3/p67
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Страница аннотации: | 308 | PDF полного текста: | 91 | Список литературы: | 45 |
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