| Abstract: | A new multiple-scale perturbation technique is employed to find the approximate solution to a fairly general matrix system of ordinary differential equations. This system includes a linear part given by a slowly-varying matrix and a small nonlinear part. The general proof of the method given in previous work is used to show rigorously that the present approximate solution is indeed asymptotic to the solution of the differential system. Some typical special cases of the general solution are also given. |
