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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| Date: | 2007 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2007
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164188 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |