| 带一个参数的四阶边值问题的一个变号解 |
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| 引用本文： | 崔亚琼,康淑瑰.带一个参数的四阶边值问题的一个变号解[J].生物数学学报,2011(2):263-268. |
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| 作者姓名： | 崔亚琼 康淑瑰 |
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| 作者单位： | 山西大同大学数学与计算机科学学院; |
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| 基金项目： | Natural Science Foundation of China(10771128); Natural Science Foundation of Shanxi Province(2008011002-1); University Science and Technology Development Project of Shanxi Province(2009744260); Higher Education Teaching Reform Re-Search Project of Shanxi Province(2009744 260); Scientific Research Project of Shanxi Datong University(2010-B-01) |
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| 摘 要： | 讨论了带一个参数的非线性四阶狄利克雷边值问题变号解的存在性．在非线性项满足一定条件时，通过利用一些新的概念如O-有界锥和O-正算子，我们得到该边值问题至少存在一个变号解．
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| 关 键 词： | 四阶边值问题 O-有界锥 O-正算子 变号解 |
One Sign-Changing Solution of Fourth-Order Boundary Value Problem with One Parameter |
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| CUI Ya-Qiong KANG Shu-Gui.One Sign-Changing Solution of Fourth-Order Boundary Value Problem with One Parameter[J].Journal of Biomathematics,2011(2):263-268. |
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| Authors: | CUI Ya-Qiong KANG Shu-Gui |
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| Institution: | CUI Ya-Qiong KANG Shu-Gui (College of Mathematics and Computer Science,Shanxi Datong University,Datong Shanxi 037009 China) |
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| Abstract: | In this paper,we consider the existence of sign-changing solutions for nonlinear forth-order Dirichlet boundary value problem with one parameter.Under certain conditions on nonlinearity,by applying some new concepts such as the O-bounded cone and the O-positive operator,we obtain that there exists at least one sign-changing solution. |
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| Keywords: | Fourth-order boundary value problem O-bounded cone O-positive operator Sign-changing solution |
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