Regularization and Choice of the Parameter for the Third Kind Nonlinear Volterra-Stieltjes Integral Equation Solutions
Open Access
- 1 January 2021
- journal article
- research article
- Published by Scientific Research Publishing, Inc. in International Journal of Modern Nonlinear Theory and Application
- Vol. 10 (02), 81-90
- https://doi.org/10.4236/ijmnta.2021.102006
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.Keywords
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