| 2n阶边值问题的正解 |
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| 引用本文： | 李沫.2n阶边值问题的正解[J].海军航空工程学院学报,2007,22(6):697-700. |
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| 作者姓名： | 李沫 |
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| 作者单位： | 烟台大学数学与信息科学系,山东,烟台,264005 |
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| 基金项目： | 国家自然科学基金资助项目(10671169) |
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| 摘 要： | 通过运用锥不动点定理来讨论2n阶边值问题multiply fro i=1 to n(-(d~2/dt~2) λ_i)]u=f(t,u),0-π2,i=1,2,…,n。f是非负连续函数。
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| 关 键 词： | 边值问题 锥不动点定理 Leray-Schauder度 |
| 文章编号： | 1673-1522(2007)06-0697-04 |
Positive Solutions of 2n-Order Boundary Value Problems |
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| LI Mo.Positive Solutions of 2n-Order Boundary Value Problems[J].Journal of Naval Aeronautical Engineering Institute,2007,22(6):697-700. |
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| Authors: | LI Mo |
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| Institution: | Department of Mathematics and Informational Science,Yantai University,Yantai Shangdong 264005,China |
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| Abstract: | The existence of positive solutions are obtained for boundary value problems , where and f is a continuous and nonnegative function. The proof is based on the fixed point index theory in cones. |
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| Keywords: | boundary value problems the fixed point index theory in cones Leray-Shauder degree |
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