《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (10): 91-96.

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### 一类二阶微分方程Sturm-Liouville边值问题正解的局部存在性与唯一性

1. 山西大学数学科学学院, 山西 太原 030006
• 发布日期:2019-10-12
• 作者简介:竺晓霖(1995— ), 女, 硕士研究生, 从事非线性泛函分析研究. E-mail:297381382@qq.com*通信作者简介:翟成波(1977— ), 男, 教授, 从事非线性泛函分析与方程研究. E-mail:cbzhai@sxu.edu.cn
• 基金资助:
国家自然科学基金青年科学基金资助项目(11201272);山西省自然科学基金资助项目(2015011005);山西省留学基金资助项目(2016-009)

### Local existence and uniqueness of positive solutions for a Sturm-Liouville boundary value problem of second order differential equations

ZHU Xiao-lin, ZHAI Cheng-bo*

1. School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, China
• Published:2019-10-12

Abstract: The positive solution of a class of second-order nonlinear differential equation with Sturm-Liouville boundary value conditions is studied. By using fixed point theorems in ordered Banach spaces, the local existence and uniqueness of positive solutions is given. Finally, two applied examples are given.

• O177.91
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