| 二阶微分方程周期边值问题的多重正解 |
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| 引用本文： | 汤宇.二阶微分方程周期边值问题的多重正解[J].长春大学学报,2006(12). |
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| 作者姓名： | 汤宇 |
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| 作者单位： | 吉林财税专科学校 吉林长春130062 |
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| 基金项目： | 国家自然科学基金(10571021) |
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| 摘 要： | 研究了二阶微分方程周期边值问题,利用锥不动点定理以及格林函数的正性给出周期边值问题单个和多个正解存在性证明的一种新方法。
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| 关 键 词： | 正解 周期边值问题 锥不动点定理 格林函数 |
Multiplicity of positive solutions to second order differential equation with period boundary conditions |
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| TANG Yu.Multiplicity of positive solutions to second order differential equation with period boundary conditions[J].Journal of Changchun University,2006(12). |
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| Authors: | TANG Yu |
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| Abstract: | In this paper we present a new existence theory for single and multiple positive periodic solutions for periodic boundary value problems by applying a well-known fixed point theorem in cones.The conditions in our main theorems can easily be checked in practice. |
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| Keywords: | positive solution period boundary conditions fixed point theorem in cones Green Function |
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