  This paper investigates analytical approximate solutions for a system of
multipantograph delay differential equations using the residual power series
method (RPSM), which obtains a Taylor expansion of the solutions and produces
the exact form in terms of convergent series requires no linearization or small
perturbation when the solutions are polynomials. By this method, an excellent
approximate solution can be obtained with only a few iterations. In this sense,
computational results of some examples are presented to demonstrate the
viability, simplicity and practical usefulness of the method. In addition, the
results reveal that the proposed method is very effective, straightforward, and
convenient for solving a system of multi-pantograph delay differential
equations.
