Asymptotic method in investigation of complex nonlinear oscillations of elastic bodies

Author:

Andrukhiv Andrij, ,Sokil Bohdan,Sokil Mariia, ,

Publisher

Lviv Polytechnic National University

Reference17 articles.

1. [1] N. N. Bogoliubov, and Yu. A. Mitropolskii, Asimptoticheskie metody v teorii nelineinykh kolebanii [Asymptotic methods in the theory of nonlinear oscillations]. Moscow, Russia: Nauka Publ., 1974. [in Russian].

2. [2] Yu. A. Mitropolskii, and B. I. Moseenkov, Asimptoticheskie resheniia uravnenii v chastnykh proizvodnykh [Asymptotic solutions of partial differential equations]. Kyiv, Ukraine: Vyshcha shkola Publ., 1976. [in Russian].

3. [3] P. Ya Pukach, I. V. Kuzio, and M. B. Sokil, "Nelineinye izgibnye kolebaniia vrashchaiushchikhsia vokrug nepodvizhnoi osi tel i metodika ikh issledovaniia" ["Nonlinear bending vibrations of bodies rotating around a fixed axis and the method of their investigation"], Izvestiia vysshikh uchebnykh zavedenii. Gornyi zhurnal [Vibrations in technique and technologies], no. 7, pp. 141-149, 2013. [in Russian].

4. [4] B. I. Sokil, "Construction of asymptotic solutions of certain boundary-value problems for the nonautonomous wave equation", Journal of Mathematical Sciences, no. 1 (96), pp. 2878-2882, 1999.

5. [5] Y. A. Mitropol'skii, and B. I. Sokil, "On the application of Ateb-functions to the construction of an asymptotic solution of the perturbed nonlinear Klein-Gordon equation", Ukrainian Mathematical Journal, no. 5 (50), pp. 754-760, 1998.

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