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Uniqueness of the Fredholm-Stiltjes Linear Integral Equations Solutions of the Third Kind
Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan
Mathematics Department, Kyrgyz Turkish Manas University, Bishkek, Kyrgyzstan
Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan
Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan
Department of Automated Systems and Digital Technologies, Osh State University, Osh, Kyrgyzstan
Department of Information Systems and Programming, Osh State University, Osh, Kyrgyzstan
Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan
Science and Research Department, Osh State University, Osh, Kyrgyzstan
- 1 Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan
- 2 Mathematics Department, Kyrgyz Turkish Manas University, Bishkek, Kyrgyzstan
- 3 Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan
- 4 Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan
- 5 Department of Automated Systems and Digital Technologies, Osh State University, Osh, Kyrgyzstan
- 6 Department of Information Systems and Programming, Osh State University, Osh, Kyrgyzstan
- 7 Department of Mathematical Analysis, Osh State University, Osh, Kyrgyzstan
- 8 Science and Research Department, Osh State University, Osh, Kyrgyzstan
Advances in Linear Algebra & Matrix Theory·Volume 11 (2021)·Pages 109–116·Published 12 November 2021·DOI10.4236/alamt.2021.114008
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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.
KeywordsSolutionIntegral EquationsUniquenessFredholm-Stiltjes Linear Integral EquationsThird Kind
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