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A SINGULAR SINGULARLY-PERTURBED BOUNDARY VALUE PROBLEM
作者姓名:林武忠  汪志鸣
作者单位:上海华东师范大学
摘    要:ASINGULARSINGULARLY-PERTURBEDBOUNDARYVALUEPROBLEM¥LinWuzhong(林武忠);WangZhiming(汪志鸣)(EastChinaNormalUniversity,上海华东师范大学,邮编:2000...


A SINGULAR SINGULARLY-PERTURBED BOUNDARY VALUE PROBLEM
Lin Wuzhong,Wang Zhiming.A SINGULAR SINGULARLY-PERTURBED BOUNDARY VALUE PROBLEM[J].微分方程年刊(英文版),1996(1).
Authors:Lin Wuzhong  Wang Zhiming
Abstract: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
Keywords:Singularly singular perturbation  Riccati equations  invariant maniflod  variational system
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