一阶脉冲微分方程的周期解(英文)  

Periodic Solution of First-order Differential Equation with Impulses

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：《四川师范大学学报（自然科学版）》2013年第1期34-38,共5页Journal of Sichuan Normal University（Natural Science）

基　　金：supported by Foundation of the Education Institution of Guizhou Province(20090038);Foundation of the Technology Institution of Guizhou Province(LKS[2011]14)~~

摘　　要：利用文献(Appl.Math.Comput.,2002,132(2/3):489-503.)的迭代分析法,在Banach空间PC(J)上讨论了一阶脉冲微分方程的周期解的存在唯一性问题.首先将方程的解转化成积分形式,再构造相应的迭代序列,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, the existence and uniqueness for periodic solution of first-order differential equation with impulses are investigated on Banach space PC（J） using the method of iterative analysis which is introduced by M. X. He, et al（Appl. Math. Comput. ,2002,132（2/3） ：489-503）. If the solution of the equation exists, we first translate it into the integral format. Based on the integral format of solution, the relevant iterative sequence is constructed. Finally, the existence and uniqueness for periodic solution of first-order differential equation with impulses are obtained and the norm estimation of tile solution is given on Banach space PC（J）.

关 键 词：周期解 存在性 脉冲 

分 类 号：O175.2[理学—数学]