International Journal of Mathematics and Mathematical Sciences 
Volume 30 (2002), Issue 1, Pages 57-62
doi:10.1155/S0161171202011699

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

Abstract

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.