TITLE:
Uniqueness of the Fredholm-Stiltjes Linear Integral Equations Solutions of the Third Kind
AUTHORS:
Aizat Toigonbaeva, Avyt Asanov, Aisalkyn Kambarova, Gumushai Obodoeva, Ularbek Moldoyarov, Aibek Toktorbaev, Aichurok Abdukadyr Kyzy, Zhypargul Abdullaeva
KEYWORDS:
Solution, Integral Equations, Uniqueness, Fredholm-Stiltjes Linear Integral Equations, Third Kind
JOURNAL NAME:
Advances in Linear Algebra & Matrix Theory,
Vol.11 No.4,
November
15,
2021
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.