奇异三点边值问题的正解 |
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引用本文: | 袁邢华,蒋巧云.奇异三点边值问题的正解[J].南通工学院学报(自然科学版),2014(2):91-94. |
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作者姓名: | 袁邢华 蒋巧云 |
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作者单位: | 南通大学理学院,江苏南通226007 |
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基金项目: | 基金项目:南通大学自然科学基金项目(122028) |
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摘 要: | 应用不动点指数方法,在与相应线性算子第一特征值有关的条件下,得到一类奇异三点边值问题正解的存在性结果。在超线性和次线性问题中,这类条件比其他形式的条件更优,所得结果推广和改进了已有文献中的主要结果。
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关 键 词: | 边值问题 不动点指数 正解 存在性 |
Positive Solutions of Singular Three-Point Boundary Value Problems |
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Authors: | YUAN Xinghua JIANG Qiaoyun |
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Institution: | (School of Sciences, Nantong University, Nantong 226007, China) |
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Abstract: | The existence of positive solutions for a class of second-order three-point boundary value problem was ob-tained by applying the fixed point index theory under some conditions concerning the eigenvalues of relevant linear operator. When compared with other conditions in superlinear and sublinear problems , this conditions are almost the best. so results in this paper extend and improve the main results in early references. |
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Keywords: | boundary value problem fixed point index positive solutions existence |
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