| 四阶奇异边值问题的多重正解 |
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| 引用本文： | 李宇华,逯丽清. 四阶奇异边值问题的多重正解[J]. 山西大学学报(自然科学版), 2006, 29(2): 125-127 |
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| 作者姓名： | 李宇华 逯丽清 |
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| 作者单位： | 山西大学,数学科学学院,山西,太原,030006 |
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| 摘 要： | 利用算子方程的一些抽象结果来讨论四阶奇异边值问题.在非线性项f满足一定条件时,得到λ*∈(0, ∞),使得当λ∈(0,λ*)时,问题至少有两个正解;当λ=λ*时,至少有一个正解;λ>λ*时,没有正解.
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| 关 键 词： | 四阶奇异边值问题 多个正解 不动点指数 锥 |
| 文章编号： | 0253-2395(2006)02-0125-03 |
| 收稿时间： | 2005-04-10 |
| 修稿时间： | 2005-04-10 |
Multiple Positive Solutions on Fourth Order Singular Boundary Value Problem |
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| LI Yu-hua,LU Li-qing. Multiple Positive Solutions on Fourth Order Singular Boundary Value Problem[J]. Journal of Shanxi University (Natural Science Edit, 2006, 29(2): 125-127 |
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| Authors: | LI Yu-hua LU Li-qing |
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| Affiliation: | School of Mathematical Sciences,Shanxi University,Taiyuan 030006, China |
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| Abstract: | By some abstract results of operator equation ,the fourth order singular boundary value problem was discussed. Under certain conditions on f(t,u),we find λ* ＞0 such that the problem has at least two positive solutions for λ∈ (0,λ*),atleast one positive solution for λ=λ* ,and no positive solutions for λ＞λ*. |
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| Keywords: | fourth order singular boundary value problem multiple positive solutions fixed point index Cone |
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