| 具有时滞的二阶微分方程三点边值问题三个正解的存在性 |
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| 引用本文： | 郑春华.具有时滞的二阶微分方程三点边值问题三个正解的存在性[J].山东大学学报(理学版),2012,47(12):109-114. |
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| 作者姓名： | 郑春华 |
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| 作者单位： | 陕西工业职业技术学院基础部, 陕西 咸阳 712000 |
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| 基金项目： | 陕西工院科研项目(zk10-18) |
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| 摘 要： | 研究了一类具有时滞的二阶微分方程三点边值问题。在构造新函数空间和新泛函的基础上,利用分析技巧和Avery Peterson不动点定理得到了该边值问题存在三个正解的充分条件,推广和完善了已有的结果。
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| 关 键 词： | 时滞 正解 三点边值问题 Avery Peterson不动点定理 |
| 收稿时间： | 2011-10-14 |
The existence of triple positive solutions to a three-point boundary value problem of second order differential equation with delay |
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| ZHENG Chun-hua.The existence of triple positive solutions to a three-point boundary value problem of second order differential equation with delay[J].Journal of Shandong University,2012,47(12):109-114. |
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| Authors: | ZHENG Chun-hua |
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| Institution: | Basic Department, Shaanxi Polytechnic Institute, Xianyang 712000, Shaanxi, China |
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| Abstract: | A class of three-point boundary value problem of second order differential equation with delay is studied. On the base of constructing new function space and functionals, some sufficient conditions on the existence of triple positive solutions for this boundary value problem are obtained by using analysis techniques and Avery-Peterson fixed point theorem. Some known results are extended and improved. |
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| Keywords: | delay positive solution three-point boundary value problem Avery-Peterson fixed point theorem |
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