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On a spectral problem arising in a mathematical model of torsional vibrations of a rod with pulleys at the ends. (English. Russian original) Zbl 1355.74049

Differ. Equ. 41, No. 10, 1490-1492 (2005); translation from Differ. Uravn. 41, No. 10, 1413-1415 (2005).

MSC:

74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74H45 Vibrations in dynamical problems in solid mechanics
34L10 Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
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References:

[1] Tikhonov, A.N. and Samarskii, A.A., Uravneniya matematicheskoi fiziki (Equations of Mathematical Physics), Moscow: Nauka, 1972.
[2] Kapustin, N.Yu. and Moiseev, E.I., Differents. Uravn., 2000, vol. 36, no.10, pp. 1357–1360.
[3] Moiseev, E.I. and Kapustin, N.Yu., Dokl. RAN, 2002, vol. 386, no.1, pp. 24–30.
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