黑龙江科技学院学报2011，Vol.21Issue(3)：249-252,4.
一类奇异半正二阶三点边值问题的正解
Positive solutions of singular nonlinear semipositove second-order three-point BVPs
李响 1李晓飞 2徐丛丛2
作者信息
- 1. 辽宁科技大学,理学院,辽宁鞍山,114051
- 2. 中国矿业大学,理学院,江苏徐州,221008
- 折叠
摘要
Abstract
This paper is aimed at realizing a wider use of multi-point boundary problems in the theory of elasticity and stability. The paper introduces the study on the existence of positive solution of nonlinear semiposibive second-order three-point boundary value problem by using the theorem on cone expansion and compression and a fixed point theorem on cone, discusses a more general problem by using the method of auxiliary function, and gives a theorem which ensures the two-second three-point boundary value problem has one positive solution. The theorem which allows the nonlinearity to have a minus lower bound serves to generalize and improve many known results.关键词
三点边值问题/半正/正解/锥Key words
three-point boundary value problem/semipositive/positive solutions/cone分类
数学引用本文复制引用
李响,李晓飞,徐丛丛..一类奇异半正二阶三点边值问题的正解[J].黑龙江科技学院学报,2011,21(3):249-252,4.
