| 带p-Laplacian算子三点边值问题拟对称正解的存在性 |
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| 引用本文： | 郭少聪,郭彦平,陈悦荣.带p-Laplacian算子三点边值问题拟对称正解的存在性[J].数学的实践与认识,2012,42(16):236-240. |
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| 作者姓名： | 郭少聪 郭彦平 陈悦荣 |
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| 作者单位： | 河北科技大学理学院,河北石家庄,050018 |
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| 基金项目： | 国家自然科学基金，河北省自然科学基金，河北省人才培养工程资助项目 |
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| 摘 要： | 研究下面带p拉普拉斯算子三点边值问题{(φp(u′(t)))′+f(t,u(t),u′(t))=0,t∈(0,1) u(0)=αu′(0),u(η)=u(1)三个拟对称正解的存在性,其中α>0,0<η<1,φ_p(s)=|s|~(p-2)s,通过应用Avery-Peterson不动点定理,我们得到上述边值问题具有拟对称正解的充分条件.
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| 关 键 词： | p拉普拉斯算子 拟对称正解 不动点定理 |
The Existence of Pseudo-Symmetric Positive Solutions for Three-Point Boundary Value Problems with p-Laplacian |
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| GUO Shao-cong
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GUO Yan-ping
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CHEN Yue-rong.The Existence of Pseudo-Symmetric Positive Solutions for Three-Point Boundary Value Problems with p-Laplacian[J].Mathematics in Practice and Theory,2012,42(16):236-240. |
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| Authors: | GUO Shao-cong GUO Yan-ping CHEN Yue-rong |
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| Institution: | (College of Sciences,Hebei University of Science and Technology,Shijiazhuang 050018,China) |
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| Abstract: | In this paper,we establish the existence of three pseudo-symmetric positive solutions for the three-point boundary value problem with one-dimensional p-Laplaican {(φp(u′(t)))′+f(t,u(t),u′(t))=0,t∈(0,1) u(0)=αu′(0),u(η)=u(1) where α>0,0<η<1,φ_p(s)=|s|~(p-2)s.By the fixed point theorem due to Avery and Peterson,we provide sufficient conditions for the existence of pseudo-symmetric positive solutions for the above boundary value problem. |
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| Keywords: | p-Laplacian pseudo-symmetric positive solution fixed point theorem |
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