| 一类二阶三点边值问题解的存在性 |
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| 引用本文： | 修国众,时宝,盖明久. 一类二阶三点边值问题解的存在性[J]. 海军航空工程学院学报, 2009, 24(3): 356-360 |
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| 作者姓名： | 修国众 时宝 盖明久 |
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| 作者单位： | 海军航空工程学院,研究生管理大队,山东烟台264001;海军航空工程学院,应用数学研究所,山东烟台264001 |
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| 基金项目： | 海军航空工程学院基础研究基金 |
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| 摘 要： | 运用上下解方法,研究了一类二阶混合非线性边值条件的三点边值问题,通过构造了适当的非线性辅助函数工得到了解存在的充分条件,推广和改进了某些已知的结果。
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| 关 键 词： | 三点边值问题 上、下解 Nagumo条件 Green函数 |
Existence of Solutions for a Second Order Three-Point Boundary Value Problem |
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| XIU Guo-zhong,SHI Bao and GAI Ming-jiu. Existence of Solutions for a Second Order Three-Point Boundary Value Problem[J]. Journal of Naval Aeronautical Engineering Institute, 2009, 24(3): 356-360 |
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| Authors: | XIU Guo-zhong SHI Bao GAI Ming-jiu |
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| Affiliation: | (Naval Aeronautical and Astronautical University a. Graduate Students＇ Brigade; b. Institute of Applied Mathematics, Yantai Shandong 264001, China) |
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| Abstract: | Using the method of upper and lower solutions, the existence of solutions of a second order three-point boundary value problem with mixed nonlinear boundary conditions was studied. We used a different modification of the nonlinearity f and obtained some sufficient criterion of existence with solutions. The result improved and extended some known results. |
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| Keywords: | three-point boundary value problem upper and lower solutions Nagumo condition Green＇s function |
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