| 带参数的奇异三阶三点边值问题的正解 |
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| 引用本文： | 曹珂.带参数的奇异三阶三点边值问题的正解[J].河西学院学报,2011,27(5):4-10. |
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| 作者姓名： | 曹珂 |
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| 作者单位： | 甘肃联合大学师范学院,甘肃兰州,730010 |
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| 摘 要： | 本文讨论下述带参数的奇异三阶三点边值问题■其中γ>0是参数且a(t)在t=0和t=1处具有奇性,当f和a满足适当条件时,对一定取值范围内的γ,获得了上述边值问题正解的存在性与不存在性.所用主要工具是Guo-Krasnoselskii不动点定理.
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| 关 键 词： | 边值问题 正解 奇异 存在性 不动点定理 |
Positive Solution.s to the Problem of Singular Third-order Three-point Boundary Value with a Parameter |
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| Cao Ke.Positive Solution.s to the Problem of Singular Third-order Three-point Boundary Value with a Parameter[J].Journal of Hexi University,2011,27(5):4-10. |
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| Authors: | Cao Ke |
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| Institution: | Cao Ke(Normal College,Gansu Lianhe University,Lanzhou 730010,China) |
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| Abstract: | The problem discussed in this paper is singular third-order three-point boundary value with a parameter. It is described as follows：{u″＋λa（t）f（u（t））=0,t∈（0,1）,u（0）-au′（0）=u′（P）=βu′（1）＋λu″（1）=0,where a （t） will be si and the value of A is ngular when t=0 and t=1, and A （λ〉0）is a parameter. Whenfand a satisfy appropriate conditions, limited in certain range （e.g.λ〉0）, we can determine the existence or non-existence of positive solutions to the above problem. The main way used in this paper is the Guo-Krasnoselskii fixed point theorem. |
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| Keywords: | Boundary value problem Positive solution Singular Existence Fixed point theorem |
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