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| 摘要: |
| 本文研究了一类非线性项变号的三阶常微分方程多点边值问题正解存在性问题.利用Banach空间锥上不动点定理及非线性泛函分析方法，获得了该问题正解的存在性结论.推广了已有文献的结果. |
| 关键词: 三阶多点边值问题 正解 锥 不动点 |
| DOI： |
| 分类号:O175.8 |
| 基金项目:国家自然科学基金（11201109）；安徽省自然科学项目（1708085MA16）；安徽省高校自然科学重点项目（KJ2017A937）. |
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| EXISTENCE AND MULTIPLICITY OF POSITIVE SOLUTIONS FOR THIRD-ORDER MULTI-POINT BOUNDARY VALUE PROBLEM WITH SIGN CHANGING NONLINEARITY |
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SHEN Chun-fang,YANG Liu,XIE Da-peng
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| Abstract: |
| In this paper, existence of positive solution of a kind of boundary value problem of third order differential equation with changing sign nonlinearity is considered. By using the fixed point theorem and nonlinear functional analysis method, the existence of positive solution is established, which generalizes the existing literature. |
| Key words: third-order multi-point boundary value problem positive solution cone fixed point |
