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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2011, том 2, номер 3, страницы 67–81 (Mi emj62)

Эта публикация цитируется 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.

MSC: 47E05, 34L15, 34L16, 34L40, 34B40

Поступила в редакцию: 25.01.2011

Язык публикации: английский



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