| 一类四阶奇异微分方程正解存在的充分必要条件 |
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| 引用本文： | 王新华,张兴秋.一类四阶奇异微分方程正解存在的充分必要条件[J].数学的实践与认识,2009,39(17). |
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| 作者姓名： | 王新华 张兴秋 |
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| 作者单位： | 聊城大学,数学科学学院,山东,聊城,252059 |
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| 摘 要： | 通过Green函数给出了一对具体的上下解,对一类奇异微分方程边值问题做了研究,得到正解存在的充分必要条件.
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| 关 键 词： | 四阶微分方程 奇异边值问题 次线性 上下解 正解 |
A Necessary and Sufficient Condition for the Existence of Positive Solutions of Fourth Order Singular Differential Equations |
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| WANG Xin-hua,ZHANG Xing-qiu.A Necessary and Sufficient Condition for the Existence of Positive Solutions of Fourth Order Singular Differential Equations[J].Mathematics in Practice and Theory,2009,39(17). |
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| Authors: | WANG Xin-hua ZHANG Xing-qiu |
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| Abstract: | This paper gives a pair of upper and lower solutions by the Green function, We gain a necessary and sufficient condition for the singular fourth order boundary value problems. |
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| Keywords: | fourth order differential equation singular BVPs sublinear upper and lower solution positive solutions |
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