International Journal of Mathematics and Mathematical Sciences
Volume 30 (2002), Issue 1, Pages 57-64
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
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.