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ЖУРНАЛЫ // Eurasian Mathematical Journal // Архив

Eurasian Math. J., 2015, том 6, номер 2, страницы 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

Аннотация: 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.

Ключевые слова и фразы: bifurcation theory methods, multiple eigenvalues, root number, perturbation method, Noether point.

MSC: 58E07

Поступила в редакцию: 11.09.2012
Исправленный вариант: 08.11.2014

Язык публикации: английский



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