| 奇异二阶m点边值问题的正解 |
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| 引用本文： | 邹玉梅,丁殿坤.奇异二阶m点边值问题的正解[J].徐州师范大学学报(自然科学版),2006,24(2):33-36. |
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| 作者姓名： | 邹玉梅 丁殿坤 |
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| 作者单位： | 山东科技大学,泰安校区,公共课部,山东,泰安,271000 |
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| 基金项目： | Research supported by the National Natural Science Foundation of China(10371066) |
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| 摘 要： | 研究奇异非线性二阶m点边值问题-(Lφ)(x)=h(x)f(φ(x)),0
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| 关 键 词： | 奇异边值问题 正解 锥 不动点指数 |
| 文章编号： | 1007-6573(2006)02-0033-04 |
| 收稿时间： | 11 28 2005 12:00AM |
| 修稿时间： | 2005年11月28 |
Existence of Positive Solutions for Singular Second-order m-Point Boundary Value Problems |
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| ZOU Yu-mei,DING Dian-kun.Existence of Positive Solutions for Singular Second-order m-Point Boundary Value Problems[J].Journal of Xuzhou Normal University(Natural Science Edition),2006,24(2):33-36. |
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| Authors: | ZOU Yu-mei DING Dian-kun |
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| Abstract: | The singular second-order m-point boundary value problem {-(Lψ)(x)=h(x)f(ψ(x)),0＜x＜1,ψ(0)=0,ψ(1)=m-2∑i=1aiψ(ξi) is considered under some conditions concerning the first eigenvalues corresponding to the relevant linear operators. The existence of positive solutions is obtained by means of fixed point index theory. The conclusions in this paper perfect the main results in 1]. |
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| Keywords: | singular boundary value problem positive solution c one fixed point index |
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