Article citationsMore>>

Imanaliev, M.I., and Asanov, A. (2007) Regularization and Uniqueness of Solutions of Systems of Nonlinear Volterra Integral Equations of the Third Kind. Doklady Mathematics, 76, 490-493. https://doi.org/10.1134/S1064562407040035

has been cited by the following article:

• 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.