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Regularization and Choice of the Parameter for the Third Kind Nonlinear Volterra-Stieltjes Integral Equation Solutions
Department of Mathematics and Information Technologies, Osh State University, Osh, Kyrgyzstan
Department of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan
Department of Economics and Management, Osh Technological University, Osh, Kyrgyzstan
Science and Research Department, Osh State University, Osh, Kyrgyzstan
- 1 Department of Mathematics and Information Technologies, Osh State University, Osh, Kyrgyzstan
- 2 Department of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan
- 3 Department of Economics and Management, Osh Technological University, Osh, Kyrgyzstan
- 4 Science and Research Department, Osh State University, Osh, Kyrgyzstan
International Journal of Modern Nonlinear Theory and Application·Volume 10 (2021)·Pages 81–90·Published 17 May 2021·DOI10.4236/ijmnta.2021.102006
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Abstract
The article is considering the third kind of nonlinear Volterra-Stieltjes integral equations with the solution by Lavrentyev regularizing operator. A uniqueness theorem was proved, and a regularization parameter was chosen. This can be used in further development of the theory of the integral equations in non-standard problems, classes in the numerical solution of third kind Volterra-Stieltjes integral equations, and when solving specific problems that lead to equations of the third kind.
KeywordsRegularizationSolutionsNonlinear Volterra-Stieltjes Integral EquationsThird KindChoice of Regularization Parameter
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