Author(s)

Nurgul Bedelova¹, Avyt Asanov², Zhypar Orozmamatova³, Zhypargul Abdullaeva^4*

¹Department of Mathematics and Information Technologies, Osh State University, Osh, Kyrgyzstan.
²Department of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan.
³Department of Economics and Management, Osh Technological University, Osh, Kyrgyzstan.
⁴Science and Research Department, Osh State University, Osh, Kyrgyzstan.

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.

Regularization, Solutions, Nonlinear Volterra-Stieltjes Integral Equations, Third Kind, Choice of Regularization Parameter

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.