关键词: 内部层, 边界层函数法, 形式渐近解

Abstract: By using the boundary layer function method, we studied the internal layer problems of a class of singularly perturbed Hamiltonian systems,  obtained a uniform asymptotic solution for this type of problem, and  proved the existence of the stepwise solution and the uniform validity of formal asymptotic solutions by using the method of ‘sewing’.

Key words: internal layer, boundary layer function method, asymptotic solution