| 奇异(k,n-k)多点边值问题的正解 |
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| 引用本文： | 张国伟,孙经先.奇异(k,n-k)多点边值问题的正解[J].数学学报,2006,49(2):391-398. |
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| 作者姓名： | 张国伟 孙经先 |
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| 作者单位： | [1]东北大学数学系,沈阳110004 [2]徐州师范大学数学系,徐州221116 |
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| 基金项目： | 国家自然科学基金资助项目（10371066;10371013） |
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| 摘 要： | 应用不动点指数理论,在与相应线性算子本征值有关的条件下,得到了高阶(k, n-k)多点边值问题(-1)n-kφ(n)(x)=h(x)f(φ(x)),0
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| 关 键 词： | 边值问题 正解 锥 |
| 文章编号： | 0583-1431（2006）02-0391-08 |
| 收稿时间： | 2004-08-12 |
| 修稿时间： | 2004-08-122005-02-18 |
Positive Solutions of Singular (κ, n-κ) Multi-Point Boundary Value Problems |
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| Guo Wei ZHANG, Jing Xian SUN.Positive Solutions of Singular (κ, n-κ) Multi-Point Boundary Value Problems[J].Acta Mathematica Sinica,2006,49(2):391-398. |
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| Authors: | Guo Wei ZHANG Jing Xian SUN |
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| Institution: | Department of Mathematics, Northeastern University, Shenyang 110004, P. R. China; Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China |
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| Abstract: | By means of the fixed point index under some conditions concerning the eigenvalues corresponding to the relevant linear operator, the existence is obtained in this paper for the multi-point boundary value problem of the higher order (κ, n - κ) differential equation (-1)n-kφ(x)=h(x)f(φ(x)),0
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| Keywords: | boundary value problem positive solution cone |
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