| 具变号非线性项二阶m点边值问题的两个正解 |
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| 引用本文： | 沈春芳.具变号非线性项二阶m点边值问题的两个正解[J].安徽教育学院学报,2011,29(3):11-13,17. |
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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; |
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| 基金项目： | 安徽省高校省级自然科学研究项目(Kj2010B163) |
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| 摘 要： | 应用锥上不动点定理,讨论一类具有变号非线性项二阶m点边值问题的正解,得到了两个正解存在的充分条件,并给出了该类m点边问题相关的Green函数。
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| 关 键 词： | 二阶m点边值问题 不动点 锥 正解 |
Double Positive Solutions to m-point Boundary Value Problems with Sign Changing Nonlinearities |
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| SHEN Chun-fang.Double Positive Solutions to m-point Boundary Value Problems with Sign Changing Nonlinearities[J].Journal of Anhui Institute of Education,2011,29(3):11-13,17. |
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| Authors: | SHEN Chun-fang |
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| Institution: | SHEN Chun-fang(Department of Mathematics,Hefei Normal University,Hefei 230061,China) |
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| Abstract: | Using fixed point theorem in cone,this paper discusses the existence of positive solutions to second-order m-point boundary value problems.Sufficient conditions are obtained to ensure the existence of double positive solutions.The associated Green's function for this problem is also given. |
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| Keywords: | second-order m-point boundary value problem fixed point cone positive solution |
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