| 一类具变号非线性项和p-Laplacian算子的仇点·边值问题的多个正解 |
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| 引用本文： | 封汉颍,白冬龙,冯杏芳. 一类具变号非线性项和p-Laplacian算子的仇点·边值问题的多个正解[J]. 军械工程学院学报, 2012, 0(1): 65-69 |
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| 作者姓名： | 封汉颍 白冬龙 冯杏芳 |
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| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
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| 基金项目： | 国家自然科学基金资助项目（11071254）;河北省自然科学基金资助项目（A2009001426） |
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| 摘 要： | 研究一类具Laplacian算子的m点边值问题（Ф（u＇））＇＋q（t）f（t,u）=0,0〈t〈1,u（0）=^m-2∑i=1aiu（ζi），u＇（1）=βu＇（0）.利用锥上的不动点指数定理，对上述具有变号的非线性项的边值问题进行研究，得到多个正解存在的充分条件．
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| 关 键 词： | m点边值问题 不动点指数 锥 p-Laplacian算子 |
Multiple Positive Solutions of m-point Boundary Value Problem with One-dimensional p-Laplacian and Sign-changing Nonlinear Terms |
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| FENG Han-ying,BAI Dong-long,FENG Xing-fang. Multiple Positive Solutions of m-point Boundary Value Problem with One-dimensional p-Laplacian and Sign-changing Nonlinear Terms[J]. Journal of Ordnance Engineering College, 2012, 0(1): 65-69 |
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| Authors: | FENG Han-ying BAI Dong-long FENG Xing-fang |
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| Affiliation: | (Department of Basic Courses, Ordnance Engineering College, Shijiazhuang 050003, China) |
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| Abstract: | In this paper, for the m-point boundary value problem with p-Laplacian operator （Ф（u＇））＇＋q（t）f（t,u）=0,0〈t〈1,u（0）=^m-2∑i=1aiu（ζi）,u＇（1）=βu＇（0）.By using the fixed point index theorems on cone, we consider the m-point boundary value problem with sign changing nonlinear term, and sufficient conditions for the existence of multiple positive solutions are obtained. |
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| Keywords: | m-point boundary value problem fixed point index~ cone ~ p-Laplacian operator |
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