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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 3, Pages 158–172 (Mi uzku1147)  
Matrix Eigenvalues in Analytic Perturbation Theory for Linear Operators

V. S. Mokeichev, A. M. Sidorov

Kazan (Volga Region) Federal University
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Abstract: In the present paper, we propose a new approach to the analytic perturbation theory for isolated eigenvalues of finite multiplicity. This approach is based on the notion of the matrix eigenvalue of a linear operator. As an application example, we consider linear problems for differential equations.
Keywords: linear operator, matrix eigenvalue, analytic perturbation theory.
Received: 10.04.2012
Document Type: Article
UDC: 517.984
Language: Russian
Citation: V. S. Mokeichev, A. M. Sidorov, “Matrix Eigenvalues in Analytic Perturbation Theory for Linear Operators”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 3, Kazan University, Kazan, 2012, 158–172
Citation in format AMSBIB
\Bibitem{MokSid12}
\by V.~S.~Mokeichev, A.~M.~Sidorov
\paper Matrix Eigenvalues in Analytic Perturbation Theory for Linear Operators
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 3
\pages 158--172
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1147}
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