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JOURNALS // Eurasian Mathematical Journal // Archive

Eurasian Math. J., 2015 Volume 6, Number 2, Pages 75–81 (Mi emj195)

On bifurcation of Noether points in discrete spectrum of linear operators

D. G. Rakhimov

Department of applied mathematics and computer science, Branch of the Moscow State University after M.V. Lomonosov in Tashkent, 22 Amir Temur St., 100060 Tashkent, Uzbekistan

Abstract: In this work in the development of our previous articles [3, 4] the perturbation of the Noether points in discrete spectrum of linear operator-functions is considered. With the help of the perturbed operator regularization an approach is suggested allowing to reduce the problem of its eigenvalues determination (which can turn out to be multiple) to simple ones together with correspondent eigenelements.

Keywords and phrases: bifurcation theory methods, multiple eigenvalues, root number, perturbation method, Noether point.

MSC: 58E07

Received: 11.09.2012
Revised: 08.11.2014

Language: English



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