郑州大学学报(理学版)2012,Vol.44Issue(1):15-19,45,6.DOI:10.3969/j.issn/1671-6841.2012.01.004
Banach空间脉冲微分方程周期边值问题的正解
Positive Solutions for Periodic Boundary Value Problems of Impulsive Differential Equations in Banach Spaces
刘晓亚1
作者信息
- 1. 西北师范大学数学与信息科学学院 甘肃兰州730070
- 折叠
摘要
Abstract
The existence of positive solutions for periodic boundary value problem of impulsive differential equations u'(t)+Mu(t)=f(t,u(t)),t∈J,t≠ tk △ut=tk=Ik(u(t)),k=1,2,...,m u(0)=u(W)in an ordered Banach space E was discussed by employing the fixed point index theory of condensing mapping.关键词
周期边值问题/正解/闭凸锥/不动点指数/凝聚映射Key words
periodic boundary value problem/ positive solution/ closed convex cone/ fixed point index/ condensing mapping分类
数理科学引用本文复制引用
刘晓亚..Banach空间脉冲微分方程周期边值问题的正解[J].郑州大学学报(理学版),2012,44(1):15-19,45,6.