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Averaging Method in Multifrequency Systems with Delay and Nonlocal Conditions

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dc.contributor.author BIHUN, Yaroslav
dc.contributor.author PETRYSHYN, Roman
dc.contributor.author KRASNOKUTSKA, Inessa
dc.date.accessioned 2020-11-02T13:41:10Z
dc.date.available 2020-11-02T13:41:10Z
dc.date.issued 2018
dc.identifier.citation BIHUN, Yaroslav, PETRYSHYN, Roman, KRASNOKUTSKA, Inessa. Averaging Method in Multifrequency Systems with Delay and Nonlocal Conditions. In: CAIM 2018: The 26th Conference on Applied and Industrial Mathematics: Book of Abstracts, Technical University of Moldova, September 20-23, 2018. Chişinău: Bons Offices, 2018, pp. 25-26. en_US
dc.identifier.uri http://repository.utm.md/handle/5014/10993
dc.description Only Abstract en_US
dc.description.abstract The complexity of the research of the problem is the existence of resonances. Resonance condition in point τ ∈ [0, L] is q Xν =1 θ ν(kν, ω(θντ)) = 0, kν ∈ Rm, IkI 6= 0. Averaging in system (1) is carried out on fast variables ϕΘ on the torus Tm. The averaged problem takes the form dx…The existence and uniqueness of solution of the problem and the estimation error k x(τ, ε) − x(τ)k ≤ c1εα, where α = (mq)−1, c1 = const > 0 of averaging method is obtained. en_US
dc.language.iso en en_US
dc.publisher Bons Offices en_US
dc.rights Attribution-NonCommercial-NoDerivs 3.0 United States *
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/3.0/us/ *
dc.subject mathematics en_US
dc.subject differential equations en_US
dc.subject multifrequency systems en_US
dc.title Averaging Method in Multifrequency Systems with Delay and Nonlocal Conditions en_US
dc.type Article en_US


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