{"title":"狄拉克函数对奇异扰动问题解的损失递增稳定性的影响","authors":"A. Akmatov, Sh. Kalambai-kyzy, N. Srazhidin-uulu","doi":"10.33619/2414-2948/101/02","DOIUrl":null,"url":null,"abstract":"The inhomogeneous part of the singularly perturbed problem affects and prolongs the loss of stability. If the inhomogeneous part is a generalized singular Dirac function, which determines the behavior of solutions to the singular problem. The features of the problem under study are shown. As a result, an asymptotic estimate was obtained. The problem is studied in a real domain.","PeriodicalId":505704,"journal":{"name":"Bulletin of Science and Practice","volume":"11 5","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Influence of the Dirac Function on Loss Progression Stability of Solutions to a Singularly Perturbed Problem\",\"authors\":\"A. Akmatov, Sh. Kalambai-kyzy, N. Srazhidin-uulu\",\"doi\":\"10.33619/2414-2948/101/02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The inhomogeneous part of the singularly perturbed problem affects and prolongs the loss of stability. If the inhomogeneous part is a generalized singular Dirac function, which determines the behavior of solutions to the singular problem. The features of the problem under study are shown. As a result, an asymptotic estimate was obtained. The problem is studied in a real domain.\",\"PeriodicalId\":505704,\"journal\":{\"name\":\"Bulletin of Science and Practice\",\"volume\":\"11 5\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of Science and Practice\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.33619/2414-2948/101/02\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Science and Practice","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33619/2414-2948/101/02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Influence of the Dirac Function on Loss Progression Stability of Solutions to a Singularly Perturbed Problem
The inhomogeneous part of the singularly perturbed problem affects and prolongs the loss of stability. If the inhomogeneous part is a generalized singular Dirac function, which determines the behavior of solutions to the singular problem. The features of the problem under study are shown. As a result, an asymptotic estimate was obtained. The problem is studied in a real domain.