| 一类非线性二阶微分方程无穷边值问题的多重正无界解 |
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| 引用本文： | 宁伟,王云诚.一类非线性二阶微分方程无穷边值问题的多重正无界解[J].应用数学学报,2006,29(1):53-60. |
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| 作者姓名： | 宁伟 王云诚 |
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| 作者单位： | 山东农业大学信息科学与工程学院,山东,泰安,271018 |
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| 基金项目： | 国家自然科学基金(40174003)，山东农业大学博士基金 |
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| 摘 要： | 本文通过构造—个特殊的锥,利用锥拉压不动点定理,证明了一类非线性二阶微分方程无穷边值问题的两个正无界解的存在性。
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| 关 键 词： | 非线性二阶微分方程 边值问题 锥 多重正无界解 |
| 收稿时间： | 2003-08-07 |
| 修稿时间： | 2003-08-072005-08-27 |
Multiple Positive Unbounded Solutions of Infinite Boundary Value Problem of a Class of Nonlinear Second order Differential Equation |
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| NING WEI,WANG YUNCHENG.Multiple Positive Unbounded Solutions of Infinite Boundary Value Problem of a Class of Nonlinear Second order Differential Equation[J].Acta Mathematicae Applicatae Sinica,2006,29(1):53-60. |
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| Authors: | NING WEI WANG YUNCHENG |
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| Institution: | College of Information Science and Engineering, Shandong Agriculture University, Taian 271018 |
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| Abstract: | In this paper, by constructing a special cone and using Krasnoselskii fixed point theorem, the existence of two positive unbounded solutions of infinite boundary value problem of a class of nonlinear second order differential equation is proved. |
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| Keywords: | nonlinear second order differential equation boundary value problem cone multiple positive unbounded solutions |
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