Estimates of the error of the averaging method for multi-frequency oscillatory systems
1 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Department of Aplied Mathematics and Information Technologies, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
the error of the averaging method, multi-frequency oscillatory systems
Abstract
The exact dependence of estimations of the oscillation integrals of parameter is established. These estimation are used for the substantiation of averaging method on the segment and half-axis for resonance oscillation systems with slowly shifting frequencies.
Cite
- ACS Style
- Petryshyn, R.; Sopronyuk, T. Estimates of the error of the averaging method for multi-frequency oscillatory systems. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Petryshyn R, Sopronyuk T. Estimates of the error of the averaging method for multi-frequency oscillatory systems. Bukovinian Mathematical Journal. 2018; 1(134).
- Chicago/Turabian Style
- Roman Petryshyn, Tetyana Sopronyuk. 2018. "Estimates of the error of the averaging method for multi-frequency oscillatory systems". Bukovinian Mathematical Journal. 1 no. 134.
Export