Geodesic
Matrix Eigenvalues in Analytic Perturbation Theory for Linear Operators
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 158-172

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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, analytic perturbation theory.
Mots-clés : matrix eigenvalue 
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     author = {V. S. Mokeichev and A. M. Sidorov},
     title = {Matrix {Eigenvalues} in {Analytic} {Perturbation} {Theory} for {Linear} {Operators}},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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     language = {ru},
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V. S. Mokeichev; A. M. Sidorov. Matrix Eigenvalues in Analytic Perturbation Theory for Linear Operators. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 3, pp. 158-172. http://geodesic.mathdoc.fr/item/UZKU_2012_154_3_a14/