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

Aizat Toigonbaeva; Avyt Asanov; Aisalkyn Kambarova; Gumushai Obodoeva; Ularbek Moldoyarov; Aibek Toktorbaev; Aichurok Abdukadyr Kyzy; Zhypargul Abdullaeva

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

机译：弗雷德霍尔姆 - Stiltjes的唯一性第三种的线性积分方程解决方案

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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.

机译：整体方程在以前的作品中已经研究和研究过理论零件和应用。在这项工作中，考虑了弗雷霍尔姆 - Stiltjes的唯一性的研究结果是考虑了第三种第三种的线性积分方程的唯一性。研究了第一种和第三种具有光滑内核的Volterra积分方程，并描述了多次局部溶液存在的证明。另外，研究了第一类的线性弗雷霍尔姆积分方程，为此建造了Lavrent'ev规范操作员。

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《Advances in Linear Algebra & Matrix Theory》 |2021年第4期|共8页
作者
Aizat Toigonbaeva; Avyt Asanov; Aisalkyn Kambarova; Gumushai Obodoeva; Ularbek Moldoyarov; Aibek Toktorbaev; Aichurok Abdukadyr Kyzy; Zhypargul Abdullaeva;
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SolutionIntegral EquationsUniquenessFredholm-Stiltjes Linear Integral EquationsThird Kind;

机译：解决方案整体式等分性Fredholm-Stiltjes线性积分方程第三种;

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机译：单调非线性卷积整体方程解决一定边值问题的存在唯一性
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机译：Banach空间中线性混合Volterra-Fredholm积分方程的解的存在唯一性
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机译：通过定点存在非线性积分方程组的唯一公共解会导致度量空间不完整
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机译：关于非线性奇异整体方程解的存在和唯一性
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机译：具有积分和微分类型散射算子的线性传输方程的数值解。
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机译：通过定点存在非线性积分方程组的唯一公共解会导致度量空间不完整
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机译：关于轴线中第一种弗雷霍姆线性整体方程解的唯一性
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机译：Banach空间中非线性微分方程解的存在唯一性，可微性和解析性及其在Navier stokes方程中的应用

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

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