| 非线性项含一阶导数广义Sturm-Liouville边值问题的多个正解 |
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| 引用本文： | 沈春芳,杨柳,刘锡平.非线性项含一阶导数广义Sturm-Liouville边值问题的多个正解[J].数学季刊,2007,22(1):114-125. |
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| 作者姓名： | 沈春芳 杨柳 刘锡平 |
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| 作者单位： | SHEN Chun-fang（Department of Mathematics, Anhui Institute of Education, Hefei 236032, China）
YANG Liu（Department of Mathematics, Anhui Institute of Education, Hefei 236032, China）
LIU Xi-ping（College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China） |
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| 基金项目： | Supported by the University Foundation of Natural Science of Anhui Province(KJ2007B055) |
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| 摘 要： |
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| 文章编号： | 1002-0462(2007)01-0114-12 |
| 修稿时间： | 2006年10月10 |
Multipolicity Results for Second-order Generalized Sturm-Liouville Boundary Value Problems with Dependence on the First Order Derivative |
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| SHEN Chun-fang,YANG Liu,LIU Xi-ping.Multipolicity Results for Second-order Generalized Sturm-Liouville Boundary Value Problems with Dependence on the First Order Derivative[J].Chinese Quarterly Journal of Mathematics,2007,22(1):114-125. |
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| Authors: | SHEN Chun-fang YANG Liu LIU Xi-ping |
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| Abstract: | By using fixed point theorems, we consider multiplicity of positive solutions for second-order generalized Sturm-Liouville boundary value problem, where the first order derivative is involved in the nonlinear term explicitly. We show the existence of multiple positive solutions for the problems. Example is given to illustrate the main results of the article. |
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| Keywords: | generalized Sturm-Liouville boundary value problem positive solution cone fixed point |
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