Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind-Reference-Cited by-同舟云学术

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Approximate Solution of the System of Linear Volterra-Stieltjes Integral Equations of the Second Kind

Published:2022-01-28 Issue:1 Volume:19 Page:1-13
ISSN:1810-3200
Container-title:Ukrainian Mathematical Bulletin
language:uk
Short-container-title:UMB

Author:

Asanov Avyt¹,Matanova Kalyskan¹

Affiliation:

1. Kyrgyz-Turkish Manas University, Bishkek, Kyrgyzstan

Abstract

A numerical solution of the system of linear Volterra-Stieltjes integral equations of the second kind has been found and analyzed using the so-called generalized trapezoid rule. Conditions for estimating the error have also been determined and justified. A solution of an example obtained using the proposed method is given.

Publisher

Institute of Applied Mathematics and Mechanics of the National Academy of Sciences of Ukraine

Reference21 articles.

1. Apartsyn, A.S. (2003). Nonclassical Linear Volterra Equations of the First Kind. VSP, Utrecht. https://doi.org/10.1515/9783110944976

2. Asanov, A. (2001). The derivative of a function by means of an increasing function. Manas Journal of Engineering, 1, 18–64.

3. Asanov, A. (2002). Volterra-Stieltjes integral equations of the second kind and the first kind. Manas Journal of Engineering, 2, 79–95.

4. Asanov, A. (2003). The system of Volterra-Stieltjes integral equations. Manas Journal of Engineering, 1 (4), 65–78.

5. Asanov, A., Chelik, M.H., & Chalish, A.N. (2011). Approximating the Stieltjes integral by using the generalized trapezoid rule. Le Mathematiche, 66 (2), 13–21.

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