第三类Fredholm-Stiltjes线性积分方程解的唯一性

线性代数与矩阵理论研究进展(英文) Pub Date : 2021-01-01 DOI:10.4236/alamt.2021.114008

Aizat Toigonbaeva, A. Asanov, A. Kambarova, G. Obodoeva, U. Moldoyarov, A. Toktorbaev, Aichurok Abdukadyr Kyzy, Zhypargul D. Abdullaeva

{"title":"第三类Fredholm-Stiltjes线性积分方程解的唯一性","authors":"Aizat Toigonbaeva, A. Asanov, A. Kambarova, G. Obodoeva, U. Moldoyarov, A. Toktorbaev, Aichurok Abdukadyr Kyzy, Zhypargul D. Abdullaeva","doi":"10.4236/alamt.2021.114008","DOIUrl":null,"url":null,"abstract":"Integral equations theoretical parts and applications have been studied and investigated in previous works. In this work, results on investigations of the uniqueness of the Fredholm-Stiltjes linear integral equations solutions of the third kind were considered. Volterra integral equations of the first and third kind with smooth kernels were studied, and proof of the existence of a multiparameter family of solutions is described. Additionally, linear Fredholm integral equations of the first kind were investigated, for which Lavrent’ev regularizing operators were constructed.","PeriodicalId":65610,"journal":{"name":"线性代数与矩阵理论研究进展(英文)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Uniqueness of the Fredholm-Stiltjes Linear Integral Equations Solutions of the Third Kind\",\"authors\":\"Aizat Toigonbaeva, A. Asanov, A. Kambarova, G. Obodoeva, U. Moldoyarov, A. Toktorbaev, Aichurok Abdukadyr Kyzy, Zhypargul D. Abdullaeva\",\"doi\":\"10.4236/alamt.2021.114008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Integral equations theoretical parts and applications have been studied and investigated in previous works. In this work, results on investigations of the uniqueness of the Fredholm-Stiltjes linear integral equations solutions of the third kind were considered. Volterra integral equations of the first and third kind with smooth kernels were studied, and proof of the existence of a multiparameter family of solutions is described. Additionally, linear Fredholm integral equations of the first kind were investigated, for which Lavrent’ev regularizing operators were constructed.\",\"PeriodicalId\":65610,\"journal\":{\"name\":\"线性代数与矩阵理论研究进展(英文)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"线性代数与矩阵理论研究进展(英文)\",\"FirstCategoryId\":\"1089\",\"ListUrlMain\":\"https://doi.org/10.4236/alamt.2021.114008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"线性代数与矩阵理论研究进展(英文)","FirstCategoryId":"1089","ListUrlMain":"https://doi.org/10.4236/alamt.2021.114008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

在前人的工作中，对积分方程的理论部分和应用进行了研究和探讨。本文考虑了第三类Fredholm-Stiltjes线性积分方程解的唯一性研究结果。研究了一类光滑核Volterra积分方程和一类光滑核Volterra积分方程，证明了一类光滑核Volterra积分方程的多参数族解的存在性。另外，研究了一类线性Fredholm积分方程，构造了该类方程的Lavrent 'ev正则算子。

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

Uniqueness of the Fredholm-Stiltjes Linear Integral Equations Solutions of the Third Kind

Integral equations theoretical parts and applications have been studied and investigated in previous works. In this work, results on investigations of the uniqueness of the Fredholm-Stiltjes linear integral equations solutions of the third kind were considered. Volterra integral equations of the first and third kind with smooth kernels were studied, and proof of the existence of a multiparameter family of solutions is described. Additionally, linear Fredholm integral equations of the first kind were investigated, for which Lavrent’ev regularizing operators were constructed.

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

线性代数与矩阵理论研究进展(英文)

自引率

0.00%

发文量