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 IJMNTA  Vol.10 No.2 , June 2021
Regularization and Choice of the Parameter for the Third Kind Nonlinear Volterra-Stieltjes Integral Equation Solutions
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.
Cite this paper: Bedelova, N. , Asanov, A. , Orozmamatova, Z. and Abdullaeva, Z. (2021) Regularization and Choice of the Parameter for the Third Kind Nonlinear Volterra-Stieltjes Integral Equation Solutions. International Journal of Modern Nonlinear Theory and Application, 10, 81-90. doi: 10.4236/ijmnta.2021.102006.
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