| 一类二阶三点边值问题正解的存在性 |
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| 引用本文： | 高银侠,周宗福. 一类二阶三点边值问题正解的存在性[J]. 合肥学院学报(自然科学版), 2009, 19(1): 9-12 |
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| 作者姓名： | 高银侠 周宗福 |
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| 作者单位： | 安徽大学数学科学学院,合肥,230039;安徽大学数学科学学院,合肥,230039 |
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| 基金项目： | 国家自然科学基金，教育部科学技术研究重点项目，安徽大学创新团队项目 |
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| 摘 要： | 利用不动点指数定理讨论了一类二阶非线性常微分方程的三点边值问题正解的存在性，给出了边值问题正解存在的几个充分条件，最后给出了一个实例作为对所获得结果的应用．
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| 关 键 词： | 三点边值问题 不动点定理 正解 |
Existence of Positive Solutions for a Second-order Three-point Boundary Value Problem |
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| GAO Yin-xia,ZHOU Zong-fu. Existence of Positive Solutions for a Second-order Three-point Boundary Value Problem[J]. Journal of Hefei University(Natural Sciences Edition), 2009, 19(1): 9-12 |
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| Authors: | GAO Yin-xia ZHOU Zong-fu |
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| Affiliation: | School of Mathematics Science;Anhui University;Hefei230039;China |
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| Abstract: | By applying the fixed point index theorem,the existence of positive solutions to a type of three-point boundary value problems of nonlinear second-order differential equations was discussed.Several sufficient conditions for the existence of positive solutions were given.Finally,an example was presented to illustrate the applications of the obtained result. |
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| Keywords: | three-point boundary value problem fixed point theorem positive solution |
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