English

应用科学学报 ›› 2005, Vol. 23 ›› Issue (4): 413-416.

• 论文 • 上一篇    下一篇

一类Positone边值问题正解的存在性

苏晓红1, 郑连存1, 张欣欣2   

  1. 1. 北京科技大学数学力学系, 北京 100083;
    2. 北京科技大学机械工程学院, 北京 100083
  • 收稿日期:2004-04-10 修回日期:2004-11-01 出版日期:2005-07-31 发布日期:2005-07-31
  • 作者简介:苏晓红(1976-),男,湖北石首人,硕士生,E-mail:blesw@163.com;郑连存(1957-),男,河北唐山人,教授,博导,E-mail:liancunzheng@sina.com
  • 基金资助:
    国家自然科学基金(50476083,50136020);北京科技大学研究生基金(2004)资助项目

Existence of Positive Solutions to a Class of Positone Boundary Value Problems

SU Xiao-hong1, ZHENG Lian-cun1, ZHANG Xin-xin2   

  1. 1. Department of Mathematics and Mechanics, University of Science and Technology Beijing, Beijing 100083, China;
    2. School of Mechanical Engineering, University of Science and Technology Beijing, Beijing 100083, China
  • Received:2004-04-10 Revised:2004-11-01 Online:2005-07-31 Published:2005-07-31

PDF

60

摘要： 对一类具有奇性Positone边界值问题进行了研究,利用非线性二择一不动点定理建立了问题正解的3个存在性原则.

关键词: 存在性原则, 边值问题, 正解, 奇性

Abstract: This paper deals with a class of singular Positone boundary value problems.Three sufficient conditions for the existence of positive solutions are established by using the nonlinear alternative fixed-point theorem.

Key words: boundary value problem, positive solution, existence principle, singular

中图分类号: