The Study of Splitting Method of Singularly Perturbed Initial Value Problems for Non-Autonomous Systems of ODE
With the help of non-autonomous version of the method of Splitting with new point of view, the paper studied singularly perturbed initial value problems for model systems of <i>ODE</i>. The proposed method will allow us to construct quasi-regular asymptotic solutions for linear Cauchy Problems and to formulate criteria for the stability of singularly perturbed quasi-linear problems.