On the averaging of a single multi-frequency system of equations with a linearly transformed argument and integral boundary conditions

Berezovska  I. V.; Bigun Yaroslav Yosypovych

Berezovska I. V. ¹ , Bigun Yaroslav Yosypovych ²

¹ Chernivtsi National University named after Yuriy Fedkovych, Chernivtsi, 58002, Ukraine

² Department of Aplied Mathematics and Information Technologies, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine

Keywords: multifrequency system of equations, integral boundary conditions

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Abstract

We considered a multifrequance system of equations with slow and fast variables with linearly transformed argument and with integral boundary conditions. We researched the existence and uniformity of solution of boundary-value problem and we obtained the error estimate of averaging method, that depends on small parameter.

References

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ACS Style: Berezovska , I.V.; Bigun, Y.Y. On the averaging of a single multi-frequency system of equations with a linearly transformed argument and integral boundary conditions. Bukovinian Mathematical Journal. 2018, 1
AMA Style: Berezovska IV, Bigun YY. On the averaging of a single multi-frequency system of equations with a linearly transformed argument and integral boundary conditions. Bukovinian Mathematical Journal. 2018; 1(501).
Chicago/Turabian Style: I. V. Berezovska , Yaroslav Yosypovych Bigun. 2018. "On the averaging of a single multi-frequency system of equations with a linearly transformed argument and integral boundary conditions". Bukovinian Mathematical Journal. 1 no. 501.

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