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
Plovdiv University, Department of Mathematics, Plovdiv, Bulgaria
Received 1 September 1992; Revised 1 February 1993
Copyright © 1993 D. D. Bainov and S. G. Hristova. 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.
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.