Ostrowski定理的推广与应用  

GENERALIZED TURNING POINT BEHAVIOR IN SINGULARLY PERTURBED NONLINEAR SYSTEMS

作　　者：张晓东[1,2] 章聚乐[1,2] 

机构地区：[1]安徽大学数学系 [2]安徽师范大学数学系

出　　处：《安徽师大学报》1997年第2期115-118,共4页

基　　金：安徽省教委资助

摘　　要：本文首先推广了Ｏｓｔｒｏｗｓｋｉ定理和文［２］的主要结果。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.

关 键 词：Ostrowski定理 稳定矩阵 特征值 特征向量 矩阵 

分 类 号：O151.21[理学—数学]