{"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}
引用次数: 0
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.
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