| 一类四阶奇异边值问题的多重正解 |
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| 引用本文： | 崔艳. 一类四阶奇异边值问题的多重正解[J]. 数学研究, 2007, 40(2): 179-186 |
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| 作者姓名： | 崔艳 |
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| 作者单位： | 安徽阜阳师范学院数学系,安徽,阜阳,236000 |
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| 基金项目： | 衷心感谢赵增勤教授的热情指导! |
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| 摘 要： | 应用锥上的不动点指数理论，研究了一类奇异非线性四阶微分方程组的两点边值问题，通过相应线性问题的第一特征值建立了其正解的存在性与多解性定理．
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| 关 键 词： | 四阶边值问题 锥 不动点指数理论 |
| 修稿时间： | 2005-07-10 |
Multiple Positive Solutions for BVP of a Singular Fourth Order System |
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| Cui Yan. Multiple Positive Solutions for BVP of a Singular Fourth Order System[J]. Journal of Mathematical Study, 2007, 40(2): 179-186 |
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| Authors: | Cui Yan |
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| Affiliation: | Department of Mathematics, Fuyang Normal College, Fuyang Anhui 236000 |
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| Abstract: | Using a fixed-point index theory in cones, the existence and multiplicity of two point BVP for a singular nonlinear fourth order ordinary differential system is discussed, it is established by using the first eigenvalue of the corresponding linear problems. |
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| Keywords: | Boundary value problem cone fixed-point index theory |
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