| 一类高阶次线性奇异边值问题的正解 |
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| 引用本文： | 邓义华. 一类高阶次线性奇异边值问题的正解[J]. 安徽大学学报(自然科学版), 2007, 32(2): 1-4. DOI: 10.3969/j.issn.1000-2162.2007.02.001 |
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| 作者姓名： | 邓义华 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008 |
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| 基金项目： | 衡阳师范学院青年基金资助项目(2005A12) |
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| 摘 要： | 研究一类含有所有偶数阶导数的高阶奇异边值问题的正解.通过构造合适的辅助函数,并对问题进行适当的转化,然后利用算子的不动点理论,得到了该奇异边值问题在非线性项满足次线性条件时存在某类正解的充分必要条件.
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| 关 键 词： | 正解 奇异边值问题 次线性 不动点 |
| 文章编号： | 1000-2162（2007）02-0001-04 |
| 修稿时间： | 2006-07-09 |
Positive solutions to singular boundary value problems for a class of higher order sublinear differential equations |
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| DENG Yi-hua. Positive solutions to singular boundary value problems for a class of higher order sublinear differential equations[J]. Journal of Anhui University(Natural Sciences), 2007, 32(2): 1-4. DOI: 10.3969/j.issn.1000-2162.2007.02.001 |
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| Authors: | DENG Yi-hua |
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| Affiliation: | Department of Mathematics;Hengyang Normal University;Hengyang 421008;China |
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| Abstract: | The positive solutions to a class of higher order singular boundary value problems with all even-order derivatives are considered.By constructing a proper assistant function and the transformation of this problem,the necessary and sufficient condition for the existence of positive solution in the case that the nonlinear term satisfies sublinear condition is obtained by using of the fixed point theory. |
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| Keywords: | positive solution singular boundary value problem sublinear fixed point |
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