Reductional Method in Perturbation Theory of Generalized Spectral E. Schmidt Problem

Abstract

In this a paper perturbations of multiple eigenvalues of Schmidt spectral problems is considered. At the usage of the reductional method suggested in the articles [11, 12] the investigation of the multiple Schmidt perturbation eigenvalues is reduced to the investigation of perturbation of simple ones. At the end, as application of the obtained results the problem about the boundary perturbation for the system of two Sturm–Liouville problems with Schmidt spectral parameter is considered.