| 一类二阶常微分方程无穷多点边值问题多个正解的存在性 |
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| 引用本文： | 王珍燕.一类二阶常微分方程无穷多点边值问题多个正解的存在性[J].纯粹数学与应用数学,2010,26(5):837-843. |
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| 作者姓名： | 王珍燕 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 研究了一类二阶非线性常微分方程无穷多点边值问题多个正解的存在性,运用不动点指数理论及Holder不等式得到了方程至少存在两个正解的若干充分条件,推广和改进了相关文献的结果.
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| 关 键 词： | 无穷多点边值问题 不动点指数 正解 存在性 |
Existence of multiple positive solutions of co-point boundary value problems for a class second-order ordinary differential equation |
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| WANG Zhen-yan.Existence of multiple positive solutions of co-point boundary value problems for a class second-order ordinary differential equation[J].Pure and Applied Mathematics,2010,26(5):837-843. |
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| Authors: | WANG Zhen-yan |
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| Institution: | WANG Zhen-yan(College of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | It studies the existence of multiple positive solutions to a type of ∞-point boundary value problem for nonlinear second-order ordinary differential equation, and some sufficient conditions of the existence with at least two positive solutions axe obtained by using the fixed point index theory and HSlder inequality. The results generalize and improve some known results of the related documents. |
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| Keywords: | ∞-point boundary value problems fixed point index positive solution existence |
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