| 非共振多参数脉冲奇异边值问题的多解性 |
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| 引用本文： | 韦忠礼.非共振多参数脉冲奇异边值问题的多解性[J].数学物理学报(A辑),2006,26(3):431-439. |
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| 作者姓名： | 韦忠礼 |
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| 作者单位： | 山东大学数学与系统科学学院，山东建筑工程学院数理系 济南 250014 济南 250100 |
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| 基金项目： | 国家自然科学基金(10471077)
山东省自然科学基金(Y2004A01)资助 |
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| 摘 要： | 该文讨论了非共振奇异脉冲多参数二阶微分方程边值问题的多个正解的存在性,利用上下解方法和不动点指数给出了多个正解存在的一个充分条件．
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| 关 键 词： | 脉冲奇异边值问题 多参数 正解 上下解 非共振 不动点指数 |
| 文章编号： | 1003-3998（2006）03-431-09 |
| 收稿时间： | 2004-02-17 |
| 修稿时间： | 2005-09-13 |
Multiple Positive Solutions of Nonresonant Singular Impulsive Multi-parameter Boundary Value Problem of Second Order Differential Equations |
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| Wei Zhongli.Multiple Positive Solutions of Nonresonant Singular Impulsive Multi-parameter Boundary Value Problem of Second Order Differential Equations[J].Acta Mathematica Scientia,2006,26(3):431-439. |
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| Authors: | Wei Zhongli |
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| Institution: | School of Mathematics and System Sciences, Shandong University, Jinan 250100;Department of Mathematics and Physics, Shandong Institute of Architectural and Engineering, Jinan 250014 |
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| Abstract: | In this paper, the author investigates the existence of multiple positive solutions of non-resonant singular impulsive multi-parameter boundary value problem of second order differential equations. A sufficient condition for the existence of multiple positive solutions is given by means of the lower and upper solutions argument and the fixed point index theory in the frame of the ODE technique. |
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| Keywords: | Singular boundary value problem with impulsive Multi-parameter Positive solution Lower and upper solutions Nonresonance Fixed point index |
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