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A nonlinear eigenvalue problem

✍ Scribed by M. Kh. Chankaev; A. B. Shabat

Publisher: SP MAIK Nauka/Interperiodica
Year: 2008
Tongue: English
Weight: 528 KB
Volume: 157
Category: Article
ISSN: 0040-5779
DOI: 10.1007/s11232-008-0126-4

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## Abstract Rotations of a heavy string with one endpoint free are considered. According to the linear theory, a string of a given length can rotate only at certain eigenvelocities of rotation w~1~ which form a discrete spectrum. It is shown that according to the more accurate non‐linear theory, a