A CLASS OF HIGHER ORDER TURNING POINT NONLINEAR SINGULARLY PERTURBED BOUNDARY VALUE PROBLEM

When a boundary layer occurs close to a turning point in a class of singularly perturbation problems with turning points, the solution manifests as a multi-layer phenomena. This paper provides a systematic solution. It focuses on a class of turning point problems and the aspects include constructing formal asymptotic solutions. It also involves establishing the existence and error estimation of the solutions, the relationship with the position of the intermediate layer and boundary layer. In addition, the numerical verification is conducted as well.