On spectra of a certain class of quadratic operator pencils with one-dimensional linear part
We consider a class of quadratic operator pencils that occur in many problems of physics. The part of such a pencil linear with respect to the spectral parameter describes the viscous friction in problems of small vibrations of strings and beams. Patterns in location of eigenvalues of such pencils...
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Datum: | 2007 |
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1. Verfasser: | |
Format: | Artikel |
Sprache: | English |
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Інститут математики НАН України
2007
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Schriftenreihe: | Український математичний журнал |
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Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/164188 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Zitieren: | On spectra of a certain class of quadratic operator pencils with one-dimensional linear part / V.N. Pivovarchik // Український математичний журнал. — 2007. — Т. 59, № 5. — С. 702–716. — Бібліогр.: 45 назв. — англ. |