Abstract
The application of singular perturbation theory to a fixed-end-point problem is shown in this paper. We deduce some sufficient conditions for the existence of the suboptimal solutions and give a systematic method for obtaining these asymptotic series solutions which are valid uniformly on the whole interval by using boundary layer methods. These conditions derived here are compared with those given by other authors. The design procedure given in this paper is applied to the fixed-end-point problem of a nuclear reactor system in order to demonstrate its effectiveness.
