圆域上拟调和函数的一类非退化Carleman型边值问题的解

IF 0.4 Q4 MATHEMATICS

Izvestiya of Saratov University Mathematics Mechanics Informatics Pub Date : 2022-08-24 DOI:10.18500/1816-9791-2022-22-3-307-314

K. .. Rasulov, T. I. Mikhalyova

{"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":0.4000,"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\":0.4000,\"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}

引用次数: 0

摘要

．研究一类拟调和函数的Carleman型边值问题。边值问题是复变解析函数的Carleman型微分问题的一个非正式模型。本文提出了一种在圆域上求解所考虑问题的复解析方法，从而可以建立其解在轮廓小变化时的不稳定性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Izvestiya of Saratov University Mathematics Mechanics Informatics MATHEMATICS-

CiteScore

0.70

自引率

0.00%

发文量

审稿时长

38 weeks