一阶脉冲微分方程的周期解(英文)  

PERIODIC SOLUTION OF FIRST-ORDER IMPULSIVE DIFFERENTIAL EQUATION

作　　者：何莲花[1] 刘安平[2] 

机构地区：[1]贵州师范大学数学与计算机学院,贵州贵阳550001 [2]中国地质大学数学与物理学院,湖北武汉430074

出　　处：《数学杂志》2012年第5期825-831,共7页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(11161011);dation of the Education Institution of Guizhou Province(20090038)

摘　　要：本文在Banach空间PC(J)上研究了一阶脉冲微分方程的周期解.利用迭代分析法得到了一阶脉冲微分方程周期解的存在唯一性和其解在Banach空间PC(J)上的范数估计.In this paper, we study periodic solution of first-order differential equation with impulses on Banach space P C（J）. By using the iterative analysis, we obtain the existence and uniqueness for periodic solution of first-order differential equation with impulses and give the norm estimation of the solution on Banach space P C（J）.

关 键 词：迭代分析 周期解 存在性 脉冲 

分 类 号：O175.2[理学—数学]