| 二阶共振多点边值问题正解的存在性 |
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| 引用本文： | 沈春芳. 二阶共振多点边值问题正解的存在性[J]. 应用数学, 2011, 24(1): 195-203 |
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| 作者姓名： | 沈春芳 |
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| 作者单位： | 合肥师范学院数学系,安徽,合肥,230601 |
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| 基金项目： | 安徽省教育厅高校自然科学研究项目(Kj2010B163) |
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| 摘 要： | 在不同共振条件下研究一类二阶非线性微分方程多点边值问题正解的存在性.利用范数形式的Leggett-Williams不动点定理,给出了问题正解的存在性结果,所得结论不同于已有文献.
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| 关 键 词： | 多点边值问题 共振 正解 锥 不动点 |
Existence of Positive Solutios for Second Order Multi-point Boundary Value Problems at Resonance |
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| SHEN Chunfang. Existence of Positive Solutios for Second Order Multi-point Boundary Value Problems at Resonance[J]. Mathematica Applicata, 2011, 24(1): 195-203 |
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| Authors: | SHEN Chunfang |
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| Affiliation: | SHEN Chunfang(Department of Mathematics,Hefei Teachers College,Hefei 230601,China) |
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| Abstract: | In the paper we consider existence of positive solutions for a kind of second-order multi-point boundary value problem with different resonance conditions.By using norm-type Leggett-Williams theorem,we establish the existence results,which is different with known results. |
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| Keywords: | Multi-point boundary value problem Resonance Positive solution Cone Fixed point |
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