Method of Successive Approximations for Solving the Multi-Pantograph Delay Equations

In this paper, the successive approximations method is applied to solve multi-pantograph equations. The multi-pantograph equation is a kind of delay differential equations (DDEs). By this method, good approximate solutions can be obtained with only a few iteration. In addition, this method can be applied easily to solve neutral functional-differential equation with proportional delays. In this sense, to illustrate the method, some examples are provided. The results show that the method is very effective.