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Investigation of multi-frequency oscillatory systems with delay
Bigun Yaroslav Yosypovych 1
1 Department of Aplied Mathematics and Information Technologies, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords: multi-frequency oscillatory systems with delay
Abstract

For the multifrequency systems with the delay in finite segment the estimate of error of averaging method is obtained.

References

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[2] Samoilenko A.M., Petryshyn R.I. Multi-frequency oscillations of nonlinear systems. - Kyiv: Institute of Mathematics of the National Academy of Sciences of Ukraine, 1998.- 340 p.

[3] Grebenikov E.A., Mitropolsky Yu.A., Ryabov Yu.A. Introduction to resonance analytical dynamics. - M.: Janus-K, 1999. - 320 p.

[4] Khapaev M.M. Averaging in stability theory. - M.: Nauka, 1986.- 192 p.

[5] Bigun Ya.I., Samoylenko A.M. Justification of the averaging principle for multifrequency systems of differential equations with delay // Differential equations. - 1999. - 35, N 1. - P.8-14.

[6] Rubanik V.P. Oscillations of quasilinear systems with delay. - M.: Nauka, 1969. - 287 p.

[7] Mitropolsky Yu.A., Martynyuk D.I. Periodic and quasi-periodic oscillations of systems with delay. - K.: Vishcha shkola, 1979. - 248 p.

[8] Bogolyubov N.N., Mitropolsky Yu.A., Samoylenko A.M. Method of accelerated convergence in nonlinear mechanics. - K.: Nauk. dumka, 1969. - 247 p.

Cite
ACS Style
Bigun, Y.Y. Investigation of multi-frequency oscillatory systems with delay. Bukovinian Mathematical Journal. 2018, 1
AMA Style
Bigun YY. Investigation of multi-frequency oscillatory systems with delay. Bukovinian Mathematical Journal. 2018; 1(150).
Chicago/Turabian Style
Yaroslav Yosypovych Bigun. 2018. "Investigation of multi-frequency oscillatory systems with delay". Bukovinian Mathematical Journal. 1 no. 150.
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