Regular Perturbation of an Operator Pencil

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:...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2016-12, Vol.219 (6), p.911-921
Main Authors: Bikmetov, A. R., Khusnullin, I. Kh, Chechkina, T. P.
Format: Article
Language:English
Subjects:
Boundary conditions
Mathematics
Mathematics and Statistics
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Summary: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.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-016-3154-x