{"title":"About Averaging in Hyperbolic Equation under the Influence of Multifrequence Disturbances","authors":"Y. Bihun, I. Skutar","doi":"10.31713/mcit.2019.17","DOIUrl":null,"url":null,"abstract":"The research deals with the existence of thesolution of the initial problem for hyperbolic equation under themultifrequency disturbances, which are described by the systemof ordinary differential equations (ODE) with multipoint andintegral conditions. The averaging method over fast variables isgrounded and estimation of accuracy of the method whichobviously depends on the small parameter was found.","PeriodicalId":275585,"journal":{"name":"Modeling, Control and Information Technologies","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Modeling, Control and Information Technologies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31713/mcit.2019.17","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The research deals with the existence of thesolution of the initial problem for hyperbolic equation under themultifrequency disturbances, which are described by the systemof ordinary differential equations (ODE) with multipoint andintegral conditions. The averaging method over fast variables isgrounded and estimation of accuracy of the method whichobviously depends on the small parameter was found.
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