Ya. I. Bihun, R. Petryshyn, I. Skutar, Halyna Melhyk
{"title":"具有多点积分条件的多频系统","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":"{\"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}","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}
Multifrequency system with multipoint and integral conditions
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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