| 一类非线性三阶边值问题正解的存在性 |
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| 引用本文： | 魏晋滢.一类非线性三阶边值问题正解的存在性[J].甘肃高师学报,2007,12(2):7-9. |
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| 作者姓名： | 魏晋滢 |
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| 作者单位： | 西北师范大学,甘肃兰州,730070 |
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| 摘 要： | 讨论了三阶常微分方程边值问题解的存在性,其中f(t,u):0,1]×R →R 为连续函数.在满足一些增长性条件的情形下,用指数不动点理论获得了正解的存在性结果.
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| 关 键 词： | 三阶边值问题 正解 不动点指数 |
| 文章编号： | 1008-9020（2007）02-007-03 |
| 修稿时间： | 2006-12-01 |
Positive solutions of third-order boundary value problems |
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| Wei Jinying.Positive solutions of third-order boundary value problems[J].Journal of Gansu Normal College,2007,12(2):7-9. |
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| Authors: | Wei Jinying |
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| Institution: | College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, China |
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| Abstract: | This paper discusses the existence of solutions of third-order boundary value problem where is continuous.When satisfies some growth conditions,the author obtains the existence of positive solutions,the proof is based on the fixed point index theory in cones. |
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| Keywords: | Third-order boundary value problem Positive solution Fixed point index |
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