@article{VSGU_2017_3_a1,
author = {A. B. Beylin},
title = {On certain control problem of displacement at one endpoint of a thin bar},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {12--17},
year = {2017},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2017_3_a1/}
}
A. B. Beylin. On certain control problem of displacement at one endpoint of a thin bar. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 3 (2017), pp. 12-17. http://geodesic.mathdoc.fr/item/VSGU_2017_3_a1/
[1] Rao J. S., Advanced Theory of Vibration, Wiley, N.Y., 1992, 431 pp.
[2] Fedotov I. A., Polyanin A. D., Shatalov M. Yu., “Theory of free vibration of rigid rod based on Rayleigh model”, Proceedings of the Russian Academy of Sciences, 417:1 (2007), 56–61 (in Russian)
[3] Beylin A. B., Pulkina L. S., “A Problem on Longitudinal Vibration in a Short Bar with Dynamical Boundary Conditions”, Vestnik of Samara State University. Natural Science Series, 2014, no. 3(114), 9–19 (in Russian)
[4] Beylin A. B., “Task on longitudinal vibration of an elastic attached loaded rod”, Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 20:2 (2016), 249–258 (in Russian) | DOI
[5] Babakov I. M., Theory of vibrations, Nauka, M., 1968, 560 pp. (in Russian)
[6] Khazanov Kh.S., Mechanical oscillations of systems with distributed parameters, textbook, Samar. Gosud. Aerokosmich. Un-t, Samara, 2002, 80 pp. (in Russian)
[7] Veiz V. L., Dondoshansky V. K., Chiriaev V. I., Forced oscillations in metal-cutting machines, Mashgiz, M.–L., 1959, 288 pp. (in Russian)
[8] Kumabe D., Vibration Cutting, Mashinostroenie, M., 1985, 424 pp. (in Russian)
[9] Ilin V. A., Tikhomirov V. V., “The wave equation with boundary control at two ends and the problem of complete damping of a vibration process”, Differential Equations, 35:5 (1990), 692–704 (in Russian)
[10] Kamynin V. L., “The inverse problem of determining the lower-order coefficient in parabolic equation with integral observation”, Mathematical notes, 94:2 (2013), 207–217 (in Russian) | DOI
[11] Cannon J. R., Lin Y., “Determination of a parameter $p(t)$ in some quasi-linear parabolic differential equations”, Inverse Problems, 1988, no. 4, 35–45 (in English) | DOI | MR
[12] Denisov A. M., “The inverse problem for a hyperbolic equation with nonlocal boundary condition involving retarding argument”, Proceedings of Institute of Mathematics and Mechanics. Ural Branch of Russian Academy of Sciences, 18, no. 1, 2012 (in Russian)
[13] Beylin A. B., Pulkina L. S., “On Certain Problem for Hyperbolic Equation with unknown behavior on a part of the boundary”, Vestnik of Samara State University. Natural Science Series, 2017, no. 2, 9–19 (in Russian)
[14] Gradstein V. S., Ryzhik I. M., Tables of integrals, sums, series, and products, Fizmatgiz, M., 1963, 1100 pp. (in Russian)
[15] Mikhlin S. G., Lectures on linear integral equations, Fizmatgiz, M., 1959, 232 pp. (in Russian)