The singularly perturbed boundary value problem for nonlinear higher order ordinary differential equation involving two small parameters has been considered. Under appropriate assumptions, for the three cases: ε/μ^...The singularly perturbed boundary value problem for nonlinear higher order ordinary differential equation involving two small parameters has been considered. Under appropriate assumptions, for the three cases: ε/μ^2→0 (μ →0), μ^2/ε →0 (ε → 0) andε = μ^2, the uniformly valid asymptotic solution is obtained by using the expansion method of two small parameters and the theory of differential inequality.展开更多
文摘The singularly perturbed boundary value problem for nonlinear higher order ordinary differential equation involving two small parameters has been considered. Under appropriate assumptions, for the three cases: ε/μ^2→0 (μ →0), μ^2/ε →0 (ε → 0) andε = μ^2, the uniformly valid asymptotic solution is obtained by using the expansion method of two small parameters and the theory of differential inequality.