Journal
DIFFERENTIAL EQUATIONS
Volume 53, Issue 5, Pages 607-616Publisher
MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1134/S0012266117050044
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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.
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