Averaging in multifrequency systems with linearly transformed arguments and point and integral conditions
1 Department of Aplied Mathematics and Information Technologies, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
2 Department of Differential Equations, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
multifrequency systems, integral conditions
Abstract
The multifrequency system of equations with linearly transformed arguments and with point and integral conditions is considered. The existence and uniqueness of solution of the problem are investigated. The averaging method is justiļ¬ed based on evaluation of oscillating integrals and the estimation error of averaging method for slow variables is obtained.
Cite
- ACS Style
- Bigun, Y.Y.; Krasnokutska, I.V.; Petryshyn, R. Averaging in multifrequency systems with linearly transformed arguments and point and integral conditions. Bukovinian Mathematical Journal. 2017, 4
- AMA Style
- Bigun YY, Krasnokutska IV, Petryshyn R. Averaging in multifrequency systems with linearly transformed arguments and point and integral conditions. Bukovinian Mathematical Journal. 2017; 4(3-4).
- Chicago/Turabian Style
- Yaroslav Yosypovych Bigun, Inessa Volodymyrivna Krasnokutska, Roman Petryshyn. 2017. "Averaging in multifrequency systems with linearly transformed arguments and point and integral conditions". Bukovinian Mathematical Journal. 4 no. 3-4.
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