一类二阶奇异半正Sturm-Liouville边值问题的正解

曲靖师范学院学报 ›› 2016, Vol. 35 ›› Issue (6): 10-13.

一类二阶奇异半正Sturm-Liouville边值问题的正解

王艳兵

山西师范大学临汾学院数计系,山西临汾 041000

收稿日期:2016-10-25 出版日期:2016-11-26
作者简介:王艳兵,山西师范大学临汾学院数计系助教,主要从事概率统计研究.

Positive Solutions of Second-order Semi-positone Sturm-Liouville Boundary Value Problems

Wang Yanbing

Department of Mathematics and Computer Science, Linfen College of Shanxi Normal University, Linfen Shanxi 041000, P. R. China

Received:2016-10-25 Published:2016-11-26

摘要/Abstract

摘要： 通过构造格林函数及锥,利用范数形式的锥拉伸不动点定理,研究具有Sturm-Liouville边界条件的一类二阶奇异半正微分方程的正解问题,得到了其正解存在的判定方法.

关键词: Sturm-Liouville边值问题, 正解, 锥, 不动点定理

Abstract: A class of singular semi-positone second-order differential equations with Sturm-Liouville boundary value conditions is discussed by using fixed point theorem of cone expansion of norm type obtain the existence of positive solutions for the problem.

Key words: Sturm-Liouville boundary value problem, positive solution, cone, fixed point theorem

中图分类号:

O175.8

王艳兵. 一类二阶奇异半正Sturm-Liouville边值问题的正解[J]. 曲靖师范学院学报, 2016, 35(6): 10-13.

Wang Yanbing. Positive Solutions of Second-order Semi-positone Sturm-Liouville Boundary Value Problems[J]. JOURNAL OF QUJING NORMAL UNIVERSITY, 2016, 35(6): 10-13.