{"title":"圆域上拟调和函数的一类非退化Carleman型边值问题的解","authors":"K. .. Rasulov, T. I. Mikhalyova","doi":"10.18500/1816-9791-2022-22-3-307-314","DOIUrl":null,"url":null,"abstract":". This paper considers a Carleman type boundary value problem for quasiharmonic functions. The boundary value problem is an informal model of a Carleman type differential problem for analytic functions of a complex variable.This paper presented a complex-analytical method for solving the problem under consideration in circular domains, which makes it possible to establish the instability of its solutions concerning small contour changes.","PeriodicalId":42789,"journal":{"name":"Izvestiya of Saratov University Mathematics Mechanics Informatics","volume":"37 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a solution of a nondegenerate boundary value problem of Carleman type for quasiharmonic functions in circular domains\",\"authors\":\"K. .. Rasulov, T. I. Mikhalyova\",\"doi\":\"10.18500/1816-9791-2022-22-3-307-314\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This paper considers a Carleman type boundary value problem for quasiharmonic functions. The boundary value problem is an informal model of a Carleman type differential problem for analytic functions of a complex variable.This paper presented a complex-analytical method for solving the problem under consideration in circular domains, which makes it possible to establish the instability of its solutions concerning small contour changes.\",\"PeriodicalId\":42789,\"journal\":{\"name\":\"Izvestiya of Saratov University Mathematics Mechanics Informatics\",\"volume\":\"37 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Izvestiya of Saratov University Mathematics Mechanics Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.18500/1816-9791-2022-22-3-307-314\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Izvestiya of Saratov University Mathematics Mechanics Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18500/1816-9791-2022-22-3-307-314","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
On a solution of a nondegenerate boundary value problem of Carleman type for quasiharmonic functions in circular domains
. This paper considers a Carleman type boundary value problem for quasiharmonic functions. The boundary value problem is an informal model of a Carleman type differential problem for analytic functions of a complex variable.This paper presented a complex-analytical method for solving the problem under consideration in circular domains, which makes it possible to establish the instability of its solutions concerning small contour changes.
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