二阶非线性奇摄动脉冲微分方程边值问题  

The Boundary Value Problem for Second Order Nonlinear Singular Perturbed Impulsive Differential Equations

作　　者：李超[1] 王晓云[1] 

机构地区：[1]中北大学理学院,太原030051

出　　处：《运城学院学报》2013年第2期22-26,共5页Journal of Yuncheng University

基　　金：山西省自然科学基金(2011011002-1)

摘　　要：讨论一类非线性奇摄动脉冲微分方程在两端点出现边界层的问题。先将区间划分成一系列的子区间,在每个子区间上利用脉冲条件和边界条件,通过匹配渐近法,得到在各个子区间上的解。然后给出实例说明所得结果的应用。In this paper, the boundary value problem of nonlinear singular perturbed impulsive differential equations with boundary layer at one end （left or right） point was discussed. For the method, First, the defined interval is divided into a series of subintervals and the solutions on each subinterval are obtained. Namely, on the subinterval of boundary layer, we yield an expansion by using matching techniques. Then, by using impul- sive and boundary conditions, we obtain the solutions on other subintervals. Then, three examples were dis- cussed to show the application of the results.

关 键 词：非线性 奇摄动脉冲微分方程 小区间法 

分 类 号：O175.14[理学—数学]