Journal of Applied Mathematics and Stochastic Analysis 
Volume 6 (1993), Issue 1, Pages 25-34
doi:10.1155/S1048953393000036

Application of Lakshmikantham's monotone-iterative technique to the solution of the initial value problem for impulsive integro-differential equations

D. D. Bainov and S. G. Hristova

 Plovdiv University, Department of Mathematics, Plovdiv, Bulgaria
Received 1 September 1992; Revised 1 February 1993

Abstract

In the present paper, a technique of V. Lakshmikantham is applied to approximate finding of extremal quasisolutions of an initial value problem for a system of impulsive integro-differential equations of Volterra type.