| Multiplicity Results for Second-order Generalized Sturm-Liouville Boundary Value Problems with Dependence on the First Order Derivative |
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| 引用本文： | SHEN Chun-fang~1 YANG Liu~1 LIU Xi-ping~2 (1.Department of Mathematics,Anhui Institute of Education,Hefei 236032,China, 2.College of Science,University of Shanghai for Science and Technology,Shanghai 200093,China). Multiplicity Results for Second-order Generalized Sturm-Liouville Boundary Value Problems with Dependence on the First Order Derivative[J]. 数学季刊, 2007, 22(1): 114-125 |
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| 作者姓名： | SHEN Chun-fang~1 YANG Liu~1 LIU Xi-ping~2 (1.Department of Mathematics Anhui Institute of Education Hefei 236032 China 2.College of Science University of Shanghai for Science and Technology Shanghai 200093 China) |
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| 作者单位： | 1.Department of Mathematics，Anhui Institute of Education，Hefei 236032，China; 2.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： | 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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| 关 键 词： | 二阶广义Sturm-Liouville边值问题 一阶导数 正解 多样性 |
Multiplicity 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. Multiplicity 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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| Affiliation: | [1]Department of Mathematics, Anhui Institute of Education, Hefei 236032, China [2]College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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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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