| 四阶奇异边值问题的正解 |
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| 引用本文： | 孙彦,徐本龙. 四阶奇异边值问题的正解[J]. 东北数学, 2004, 20(3): 355-362 |
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| 作者姓名： | 孙彦 徐本龙 |
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| 作者单位： | Department of Mathematics，Qufu Normal University，Qufu，Shandong Province，273165，Department of Mathematics，Qufu Normal University，Qufu，Shandong Province，273165 |
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| 基金项目： | The NSF (19871048) of China and the NSF (Z2000A02) of Shandong Province. |
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| 摘 要： | Using fixed point index theory, we study the existence of positive solutionsof the fourth order differential equation with some general boundary conditions, where g(t) is allowed to be singular at t=0 and/or 1. Our results significantly extend and improve many known results even for non-singular cases. An example is given to show how to apply our theorems.
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| 关 键 词： | 正解 不动点定理 BVP 四阶奇异边值问题 偏微分方程 |
Positive Solutions of Fourth Order Singular Boundary Value Problems |
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| SUN Yan XU Ben-long. Positive Solutions of Fourth Order Singular Boundary Value Problems[J]. Northeastern Mathematical Journal, 2004, 20(3): 355-362 |
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| Authors: | SUN Yan XU Ben-long |
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| Affiliation: | DepartmentofMathematics,QufuNormalUniversity,Qufu,ShandongProvince,273165 |
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| Abstract: | Using fixed point index theory, we study the existence of positive solutions of the fourth order differential equationd4u/dt^4-g(t)F(t,u(t))=0 with some general boundary conditions, where g(t) is allowed to be singular at t=0 and/or 1. Our results significantly extend and improve many known results even for non-singular cases. An example is given to show how to apply our theorems. |
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| Keywords: | positive solution fixed point index BVP |
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