Perturbation of Fredholm eigenvalues of linear operators

被引：0

作者：

D. G. Rakhimov

机构：

[1] Tashkent Branch of Lomonosov Moscow State University,

来源：

Differential Equations | 2017年 / 53卷

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摘要：

We use the reduction method, which allows one to reduce the study of perturbations of multiple eigenvalues to perturbations of simple eigenvalues, to analyze the general perturbation problem for Fredholm points of the discrete spectrum of linear operator functions analytically depending on the spectral parameter. The same method is used to study a perturbation of multiple Fredholm points of the discrete Schmidt spectrum (s-numbers) of a linear operator. We present an example of a problem on a perturbation of the domain of the Sturm–Liouville problem for a second-order differential operator.

引用

页码：607 / 616

页数：9

共 5 条

[1]

Sz.-Nagy B.(1951)Perturbation des transformations linéaires fermées Acta Sci. Math. (Szeged) 14 125-137

[2]

Vishik M.I.(1960)Solution of some perturbation problems in the case of matrices and self-adjoint or non-selfadjoint differential equations Russian Math. Surveys 3 1-73

[3]

Lyusternik L.A.(2010)On the calculation of multiple Fredholm points of discrete spectrum of linear operator functions by the false perturbation method Zhurnal SVMO 12 106-112

[4]

Rakhimov D.G.(2012)On the regularization of multiple eigenvalues by the false perturbation reduction method Vestn. Samar. Gos. Univ. Estestv.-Nauchn. Ser. 6 35-41

[5]

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