| 一类三点边值问题正解的存在性 |
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| 引用本文： | 韩晓玲. 一类三点边值问题正解的存在性[J]. 数学研究及应用, 2007, 27(3): 497-504 |
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| 作者姓名： | 韩晓玲 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 在与线性问题第一特征值相关的条件下,通过应用不动点指数理论讨论了三点边值问题u″ 9(t)f(u)=0,t∈(0,1),u′(0)=0,u(1)=αu(η)正解的存在性,这里η∈(0,1),α∈R且0<α<1.本文结果推广和改进了文献[1]的主要结论.
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| 关 键 词： | 三点边值问题 正解 锥 不动点指数. |
| 文章编号： | 1000-341X（2007）03-0497-08 |
| 收稿时间： | 2005-10-30 |
| 修稿时间： | 2005-10-30 |
Positive Solutions of a Three-Point Boundary Value Problem |
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| HAN Xiao-ling. Positive Solutions of a Three-Point Boundary Value Problem[J]. Journal of Mathematical Research with Applications, 2007, 27(3): 497-504 |
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| Authors: | HAN Xiao-ling |
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| Affiliation: | Department of Mathematics, Northwest Normal University, Gansu 730070, China |
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| Abstract: | We study the existence of positive solutions of the three-point boundary value problem $u'+g(t)f(u)=0, tin(0, 1),$ $ u'(0)=0,qquad u(1)=alpha u(eta), $ where $etain(0,1)$, and $alpha in mathbb{R}$ with We study the existence of positive solutions of the three-point boundary value problem $u'+g(t)f(u)=0, tin(0, 1),$ $ u'(0)=0,qquad u(1)=alpha u(eta), $ where $etain(0,1)$, and $alpha in mathbb{R}$ with We study the existence of positive solutions of the three-point boundary value problem $$u'+g(t)f(u)=0, tin(0, 1),$$ $$ u'(0)=0,qquad u(1)=alpha u(eta), $$ where $etain(0,1)$, and $alpha in mathbb{R}$ with $0
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| Keywords: | three-point boundary value problem positive solution cone fixed point index. |
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