数学物理学报 ›› 2009, Vol. 29 ›› Issue (5): 1415-1425.

• 论文 • 上一篇    下一篇

奇异半正二阶脉冲Dirichlet边值问题的正解

  

  1. 1.长春大学 理学院 长春 130022|2.东北师范大学 数学与统计学院 长春 130024; 3.苏州市职业大学 基础部 江苏苏州 215104|4.吉林大学农业部 长春 130062
  • 收稿日期:2007-12-06 修回日期:2009-06-26 出版日期:2009-10-25 发布日期:2009-10-25
  • 基金资助:

    国家自然科学基金(10571021)资助

Positive Solution of Semipositone Singular Dirichlet Boundary Value Problems for Second Order Impulsive Differential Equations

  1. 1.College of Science, Changchun University, Changchun 130022|2.School of Mathematics and tatistics,Northeast Normal University, Changchun 130024; 3.Department of Foundation, Suzhou Vocational University, Jiangsu Suzhou 215104; 4.Department of Agriculture, Jilin University, Changchun 130062
  • Received:2007-12-06 Revised:2009-06-26 Online:2009-10-25 Published:2009-10-25
  • Supported by:

    国家自然科学基金(10571021)资助

摘要:

该文利用锥不动点定理讨论了奇异半正二阶脉冲Dirichlet边值问题正解的存在性.

关键词: 脉冲微分方程, 奇异边值问题, 半正问题, 锥不动点定理

Abstract:

In this paper, the existence of positive solution to semipositone singular  Dirichlet boundary value problems with
impulsive effects is discussed. Our analysis relies on a cone fixed point theorem.

Key words: Impulsive differential equation, Singular boundary value problem, Semipositone problem, Fixed point theorem in cones

中图分类号: 

  • 34B15