Email this article Regular Perturbation of an Operator Pencil
- Authors: Bikmetov A.R.1, Khusnullin I.K.2, Chechkina T.P.3
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Affiliations:
- Ufa Scientific Center of the Russian Academy of Sciences
- M. Akvullah Bashkir State Pedagogical University
- National Nuclear Research University“MEPhI”
- Issue: Vol 219, No 6 (2016)
- Pages: 911-921
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238729
- DOI: https://doi.org/10.1007/s10958-016-3154-x
- ID: 238729
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Abstract
We study the spectral problem with a small parameter for a quadratic operator pencil with boundary conditions of nonperiodically and rapidly varying (alternating) type. We show that the homogenized problem admits the classical Steklov type spectral condition instead of alternating one. Bibliography: 11 titles.
About the authors
A. R. Bikmetov
Ufa Scientific Center of the Russian Academy of Sciences
Email: chechkina@mail.ru
Russian Federation, 71, Oktyabrya pr, Ufa, 450054
I. Kh. Khusnullin
M. Akvullah Bashkir State Pedagogical University
Email: chechkina@mail.ru
Russian Federation, 3a, Oktyabrskoi Revolutsii St, Ufa, 450000
T. P. Chechkina
National Nuclear Research University“MEPhI”
Author for correspondence.
Email: chechkina@mail.ru
Russian Federation, 31. Kashirskoe sh, Moscow, 115409
