摘要
We study the boundary value problem for the vector system which is equivalent to a singular singularly-perturbed boundary value problem involving a slow variable. Under appropriate assumptions, we obtain that the asymptotic expansion of a solution is uniformly valid on a finit interval. Meanwhile, we find an intrinsic relation between a solution of Riccati equations in the technique of diagnolization and an invariant manifold a boundary layer.MSC: 34E15
We study the boundary value problem for the vector system which is equivalent to a singular singularly-perturbed boundary value problem involving a slow variable. Under appropriate assumptions, we obtain that the asymptotic expansion of a solution is uniformly valid on a finit interval. Meanwhile, we find an intrinsic relation between a solution of Riccati equations in the technique of diagnolization and an invariant manifold a boundary layer.MSC: 34E15
