Journal of Applied Mathematics and Stochastic Analysis 
Volume 3 (1990), Issue 3, Pages 177-191
doi:10.1155/S104895339000017X

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

Abstract

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.