四川师范大学学报（自然科学版）2013，Vol.36Issue(1)：34-38,5.DOI:10.3969/j.issn.1001-8395.2013.01.007
一阶脉冲微分方程的周期解
Periodic Solution of First-order Differential Equation with Impulses
摘要
Abstract
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 the solution is given on Banach space PC(J).关键词
周期解/存在性/脉冲Key words
periodic solution/ existence/ impulses分类
数理科学引用本文复制引用
何莲花,刘安平..一阶脉冲微分方程的周期解[J].四川师范大学学报（自然科学版）,2013,36(1):34-38,5.基金项目
This paper was supported by Foundation of the Education Institution of Guizhou Province(20090038) and Foundation of the Technology Institution of Guizhou Province (LKS[2011]14) （20090038）
贵州省教育厅基金(黔教科20090038)和贵州省科学技术基金(黔科合J字LKS[2011]14号)资助项目 （黔教科20090038）
