一类二阶m点边值问题的正解

数学季刊 ›› 2006, Vol. 21 ›› Issue (3): 448-454.

一类二阶m点边值问题的正解

PoDepartment of Mathematics, Shangqui Vocational and Technical College, Shangqui 476000, China; College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

收稿日期:2005-10-10 出版日期:2006-09-30 发布日期:2023-11-30
作者简介:YAN Jie-sheng(1963-),male,native of Shangqiu,Henan,an associate professor of Shangqui Vocational and Technical College,M,S.D.,engages in PDE.

Positive Solutions for a Class of Second-order m-point Boundary Value Problems

PoDepartment of Mathematics, Shangqui Vocational and Technical College, Shangqui 476000, China; College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2005-10-10 Online:2006-09-30 Published:2023-11-30
About author:YAN Jie-sheng(1963-),male,native of Shangqiu,Henan,an associate professor of Shangqui Vocational and Technical College,M,S.D.,engages in PDE.

摘要/Abstract

摘要： Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of second-order m-point boundary value problem. Sufficient conditions to ensure the existence of double positive solutions are obtained. The associated Green function of this problem is also given.

关键词: second-order m-point boundary value problem, fixed point, cone, positive solution

Abstract: Using a fixed point theorem in cones, the paper consider the existence of positive solutions for a class of second-order m-point boundary value problem. Sufficient conditions to ensure the existence of double positive solutions are obtained. The associated Green function of this problem is also given.

Key words: second-order m-point boundary value problem, fixed point, cone, positive solution

中图分类号:

O175.8

闫杰生, 杨刘, 刘锡平. 一类二阶m点边值问题的正解[J]. 数学季刊, 2006, 21(3): 448-454.

YAN Jie-sheng, YANG Liu, LIU Xi-ping. Positive Solutions for a Class of Second-order m-point Boundary Value Problems[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(3): 448-454.

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