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浙江大学学报（理学版）
浙江大学学报（理学版）  2018, Vol. 45 Issue (5): 540-544    DOI: 10.3785/j.issn.1008-9497.2018.05.004
数学与计算机科学     
二阶三点边值问题的对称正解
赵如慧, 韩晓玲
西北师范大学 数学与统计学院, 甘肃 兰州 730070
Symmetric positive solutions for the second-order three-point boundary value problems
ZHAO Ruhui, HAN Xiaoling
College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China
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摘要： 运用迭代法研究了二阶三点边值问题：对称正解的存在性，其中f：[0，1]×[0，+∞）×R→[0，+∞）连续；q（t）≥ 0，t∈（0，1）.
关键词： 二阶三点边值问题;  对称正解;  单调迭代    
Abstract: In this paper, we investigate the existence of symmetric positive solutions for the following second-order three-point boundary value problems:,where f:[0,1]×[0,+∞)×R→[0,+∞) is continuous;q(t) ≥ 0,t∈(0,1).
Key words: second-order three-point boundary value problem    symmetric positive solutions    monotone iterative
收稿日期: 2017-12-29 出版日期: 2018-09-12
CLC:  O175.8  
基金资助: 国家自然科学基金资助项目（11561063）.
通讯作者: 韩晓玲,ORCID:http://orcid.org/0000-0002-0670-9657,E-mail:hanxiaoling9@163.com     E-mail: hanxiaoling9@163.com
作者简介: 赵如慧(1992-),ORCID:http://orcid.org/0000-0003-2746-0413,女,硕士研究生,主要从事常微分边值问题研究,E-mail:1720907089@qq.com.
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引用本文:

赵如慧, 韩晓玲. 二阶三点边值问题的对称正解[J]. 浙江大学学报（理学版）, 2018, 45(5): 540-544.

ZHAO Ruhui, HAN Xiaoling. Symmetric positive solutions for the second-order three-point boundary value problems. Journal of Zhejiang University (Science Edition), 2018, 45(5): 540-544.

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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2018.05.004    或    https://www.zjujournals.com/sci/CN/Y2018/V45/I5/540

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