Singular Perturbed Solutions of Initial Value Problems for a Class of Second-Order Impulsive Differential Systems

摘要：

In this paper, we investigate a class of singular perturbed impulsive initial value problems (SPIIVPs) and give a basic solving tool. First, we reduce an impulsive differential system to the correspond- ing nonimpulsive differential equation. Then, by using the multiple-scale expansion, we obtain the solution of the nonimpulsive equation. Therefore, the solution of the original impulsive differential system is obtained. Model problem is provided to illustrate the effective method of solving the SPIIVPs.

作者: Xiao-Yun Wang Yao-Lin Jiang

作者单位: Xian Jiaotong University Department of Mathematics Xian 710049, China;Shanxi Police Academy Taiyua Xian Jiaotong University Department of Mathematics Xian 710049, China

会议类型: 国际会议

会议名称: 第三届国际脉冲动力系统及应用学术会议

会议地点: 青岛

会议语种:英文

在线出版日期: 2006-07-21（万方平台首次上网日期，不代表论文的发表时间）