| 含半正非线性项的三阶三点边值问题的正解存在性 |
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| 引用本文： | 姚庆六.含半正非线性项的三阶三点边值问题的正解存在性[J].数学研究与评论,2003,23(4):591-596. |
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| 作者姓名： | 姚庆六 |
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| 作者单位： | 南京财经大学应用数学系,江苏,南京,210003 |
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| 摘 要： | 研究了半正非线性三阶三点边值问题ω′″(t) - λf(t,w(t)) = 0, 0 ≤ t ≤ 1, ω(0) = ω′(η) = ω"(1) = 0的正解存在性。
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| 关 键 词： | 三阶半正常微分方程 三点边值问题 正解的存在性 锥上的不动点定理 |
| 收稿时间： | 2001/2/16 0:00:00 |
Existence of Positive Solutions for a Third-Order Three-Point Boundary Value Problem with Semipositone Nonlinearity |
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| YAO Qing-liu.Existence of Positive Solutions for a Third-Order Three-Point Boundary Value Problem with Semipositone Nonlinearity[J].Journal of Mathematical Research and Exposition,2003,23(4):591-596. |
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| Authors: | YAO Qing-liu |
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| Institution: | Dept. of Math.; Nanjing University of Finance and Economics; Nanjing; China |
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| Abstract: | The existence of positive solutions is investigated for following semipositone nonlinear third-order three-point BVP ω′′′(t)- λf(t,ω(t)) = 0, 0 ≤ t ≤ 1, ω(0) =ω′(η) = ω"(1) = 0. |
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| Keywords: | third-order semipositone ODE three-point BVP existence ot positive solution fixed point theorem on cone |
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