A general method for solving singular perturbed impulsive differential equations with two-point boundary conditions

摘要

In this paper, a general method is presented for solving singularly perturbed impulsive two-point boundary value problems with boundary layer at one end (left or right) point. For the method, we divide the defined interval into a series of subintervals and obtain the solution on each subinterval. Namely, on the subinterval of boundary layer, we yield an expansion by using matching techniques. Then, by using impulsive and boundary conditions, we obtain the solutions on other subintervals. Finally, several linear and nonlinear singular perturbed impulsive problems are provided to be concretely solved according to the new approach.