On the accumulation of eigenvalues of operator pencils connected with the problem of vibrations in a viscoelastic rod

Author:

Vladimirov A. A.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference8 articles.

1. V. N. Pivovarchik, “A boundary-value problem related to the vibrations of the rod with internal and external friction,” Vestnik Moskov. Univ. Ser. I Mat. Mekh. [Moscow Univ. Math. Bull.], (1987), no. 3, 68–71.

2. P. Lancaster and A. Shkalikov, “Damped vibration of beams and related spectral problems,” Canad. Appl. Math. Quat., 2 (1994), no. 1, 45–90.

3. R. O. Griniv and A. A. Shkalikov, “On the operator pencil appearing in the problem of the vibrations of the rod with internal friction,” Mat. Zametki [Math. Notes], 56 (1994), no. 2, 114–131.

4. A. A. Vladimirov, “On the accumulation of the eigenvalues of the differential operator functions,” Uspekhi Mat. Nauk [Russian Math. Surveys], 57 (2002), no. 1, 151–152.

5. R. Mennicken and H. Schmid, and A. A. Shkalikov, “On the eigenvalue accumulation of Sturm—Liouville problem depending nonlinearly on the spectral parameter,” Math. Nachr., 189 (1998), 157–170.

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