Ya. I. Bihun, R. Petryshyn, I. Skutar, Halyna Melhyk
{"title":"Multifrequency system with multipoint and integral conditions","authors":"Ya. I. Bihun, R. Petryshyn, I. Skutar, Halyna Melhyk","doi":"10.36120/2587-3644.v12i2.19-32","DOIUrl":null,"url":null,"abstract":"For the multifrequency system of equations with linear delays and multipoint and integral conditions, the existence and uniqueness of the solution in space is proved.The method of averaging over fast variables is substantiated and the error of the methodis estimated, which obviously depends on the small parameter. The obtained result is illustrated by a model example.","PeriodicalId":340784,"journal":{"name":"Acta et commentationes: Ştiinţe Exacte şi ale Naturii","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta et commentationes: Ştiinţe Exacte şi ale Naturii","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36120/2587-3644.v12i2.19-32","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
For the multifrequency system of equations with linear delays and multipoint and integral conditions, the existence and uniqueness of the solution in space is proved.The method of averaging over fast variables is substantiated and the error of the methodis estimated, which obviously depends on the small parameter. The obtained result is illustrated by a model example.
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