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SM ISO690:2012 BIHUN, Yaroslav, PETRYSHYN, Roman, SKUTAR, Ihor. On averaging in multifrequency systems with linearly transformed arguments. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 179-182. ISBN 978-9975-68-378-4. |
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Proceedings IMCS-55 2019 | |||||
Conferința "Conference of Mathematical Society of the Republic of Moldova" Chișinău, Moldova, 28 septembrie - 1 octombrie 2019 | |||||
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Pag. 179-182 | |||||
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The research deals with the existence of the solution of the initial problem for hyperbolic equation under the multifrequency disturbances, which are described by the system of ordinary differential equations (ODE) with multipoint and integral conditions. The averaging method over fast variables is grounded, and estimation of accuracy of the method which obviously depends on the small parameter was found. |
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Cuvinte-cheie averaging method, multifrequency problem, system, resonance, small parameter, integral conditions |
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