Journal of Applied Mathematics and Stochastic Analysis
Volume 3 (1990), Issue 3, Pages 177-191

On a Volterra Stieltjes integral equation

P. T. Vaz1 and S. G. Deo2

1Department of Mathematics , University of Nairobi, Kenya
2Department of Mathematics, Goa University, P.O. Santacruz, Bambolim 403005, Goa, India

Received 1 January 1990; Revised 1 March 1990

Copyright © 1990 P. T. Vaz and S. G. Deo. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The paper deals with a study of linear Volterra integral equations involving Lebesgue-Stieltjes integrals in two independent variables. The authors prove an existence theorem using the Banach fixed-point principle. An explicit example is also considered.