Averaging in multifrequency systems with multi-point conditions and a delay
Vol 16 No 2 (2023), Статьи
Vol 16 No 2 (2023)

Averaging in multifrequency systems with multi-point conditions and a delay

Статьи
https://doi.org/10.36120/2587-3644.v16i2.13-24
Published January 17, 2024
Yaroslav Bihun
Chernivtsi National University, 28 Universytetska st., Chernivtsi, Ukraine
Ihor Skutar
Chernivtsi National University, 28 Universytetska st., Chernivtsi, Ukraine

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Keywords

multifrequency system
averaging method
resonance
integral delay
linearly transformed argument

How to Cite

Bihun, Y., & Skutar, I. (2024). Averaging in multifrequency systems with multi-point conditions and a delay. Acta Et Commentationes Exact and Natural Sciences, 16(2), 13-24. https://doi.org/10.36120/2587-3644.v16i2.13-24
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Abstract

For multifrequency system of differential equations with a discrete and integral delay we find conditions for the existence and uniqueness of the solution. Linear multipoint conditions are set for the solution. An estimate of the error of the averaging method is obtained, which clearly depends on the small parameter.

https://doi.org/10.36120/2587-3644.v16i2.13-24
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