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

作　　者：Aizat Toigonbaeva Avyt Asanov Aisalkyn Kambarova Gumushai Obodoeva Ularbek Moldoyarov Aibek Toktorbaev Aichurok Abdukadyr Kyzy Zhypargul Abdullaeva Aizat Toigonbaeva;Avyt Asanov;Aisalkyn Kambarova;Gumushai Obodoeva;Ularbek Moldoyarov;Aibek Toktorbaev;Aichurok Abdukadyr Kyzy;Zhypargul Abdullaeva(Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan;Mathematics Department, Kyrgyz Turkish Manas University, Bishkek, Kyrgyzstan;Department of Automated Systems and Digital Technologies, Osh State University, Osh, Kyrgyzstan;Department of Information Systems and Programming, Osh State University, Osh, Kyrgyzstan;Science and Research Department, Osh State University, Osh, Kyrgyzstan)

机构地区：[1]Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan [2]Mathematics Department, Kyrgyz Turkish Manas University, Bishkek, Kyrgyzstan [3]Department of Automated Systems and Digital Technologies, Osh State University, Osh, Kyrgyzstan [4]Department of Information Systems and Programming, Osh State University, Osh, Kyrgyzstan [5]Science and Research Department, Osh State University, Osh, Kyrgyzstan

出　　处：《Advances in Linear Algebra & Matrix Theory》2021年第4期109-116,共8页线性代数与矩阵理论研究进展（英文）

摘　　要：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.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.

关 键 词：Solution Integral Equations UNIQUENESS Fredholm-Stiltjes Linear Integral Equations Third Kind 

分 类 号：O17[理学—数学]