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Ostrowski定理的推广与应用
引用本文:张晓东,章聚乐.Ostrowski定理的推广与应用[J].安徽师范大学学报(自然科学版),1997,20(2):115-118.
作者姓名:张晓东  章聚乐
作者单位:[1]安徽大学数学系 [2]安徽师范大学数学系
摘    要:本文首先推广了Ostrowski定理和文[2]的主要结果,然后讨论它们在稳定矩阵与M-矩阵中的应用。

关 键 词:Ostrowski定理  稳定矩阵  特征值  特征向量  矩阵

GENERALIZED TURNING POINT BEHAVIOR IN SINGULARLY PERTURBED NONLINEAR SYSTEMS
Liu Shude.GENERALIZED TURNING POINT BEHAVIOR IN SINGULARLY PERTURBED NONLINEAR SYSTEMS[J].Journal of Anhui Normal University(Natural Science Edition),1997,20(2):115-118.
Authors:Liu Shude
Abstract:A singularly perturbed problem for a class of two dimentional nonlinear systems with generalized turning points is studied. Using the theory of differential inequalities and method of constructing component wise upper and lower solutions, each component of solutions are shown to exhibit interior monotone transition layer behavior at turning point.
Keywords:singular perturbation\ generalized turning point\ interior transition layer
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