TITLE:
Regularization and Choice of the Parameter for the Third Kind Nonlinear Volterra-Stieltjes Integral Equation Solutions
AUTHORS:
Nurgul Bedelova, Avyt Asanov, Zhypar Orozmamatova, Zhypargul Abdullaeva
KEYWORDS:
Regularization, Solutions, Nonlinear Volterra-Stieltjes Integral Equations, Third Kind, Choice of Regularization Parameter
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.10 No.2,
May
26,
2021
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.