| 一类四阶边值问题对称正解的存在性 |
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| 引用本文： | 张炎彪.一类四阶边值问题对称正解的存在性[J].忻州师范学院学报,2007,23(2):1-3. |
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| 作者姓名： | 张炎彪 |
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| 作者单位： | 山西大学,山西,太原,030006 |
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| 摘 要： | 讨论了一类四阶两点边值问题u(4)(t)=f(u(t),u(′t),u(″t)),t∈0,1],u(0)=u(1)=u″(0)=u″(1)=0对称正解的存在性,用不动点指数理论证明了在一定条件下问题至少存在一个对称正解。
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| 关 键 词： | 四阶边值问题 对称正解 不动点指数 |
| 文章编号： | 1671-1491（2007）02-0001-03 |
| 修稿时间： | 2006-11-18 |
Symmetric Positive Solutions of Fourth- order Boundary Value Problems |
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| ZHANG Yan-biao.Symmetric Positive Solutions of Fourth- order Boundary Value Problems[J].Journal of Xinzhou Teachers University,2007,23(2):1-3. |
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| Authors: | ZHANG Yan-biao |
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| Institution: | Shanxi University, Taiyuan 030006, China |
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| Abstract: | In this paper,an existence result of symmetric positive solution for fourth-order boundary value problems is obtained by using the fixed-point index thoery. |
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| Keywords: | fourth-order boundary value problems symmetric positive solution the fixed point index |
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