International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 1, Pages 57-62

Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function

S. G. Hristova1 and M. A. Rangelova2

1Plovdiv University, Department of Applied Mathematics, Plovdiv 4000, Bulgaria
2Plovdiv University, Faculty of Mathematics and Computer Science, Plovdiv 4000, Bulgaria

Received 28 January 2001; Revised 18 June 2001

Copyright © 2002 S. G. Hristova and M. A. Rangelova. 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 initial value problem for a special kind of differential equations with a step function is studied. The monotone-iterative technique of Lakshmikantham for approximate finding of the solutions of the given problem is well grounded.