| 三阶三点非齐次微分方程边值问题正解存在性研究 |
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| 引用本文： | 刘绍帅,马德香.三阶三点非齐次微分方程边值问题正解存在性研究[J].陕西理工学院学报(自然科学版),2012,28(5):49-54. |
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| 作者姓名： | 刘绍帅 马德香 |
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| 作者单位： | 华北电力大学 数理学院,北京,102206 |
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| 基金项目： | 华北电力大学中央高校科研业务基金(10ML38) |
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| 摘 要： | 研究了一类带参数的三阶非齐次微分方程边值问题.一方面运用Krasnosel-skii 不动点定理证得,当参数足够小时,边值问题至少有一个正解；另一方面证得,当参数足够大时,边值问题没有正解.相应格林函数的性质是获得结论的关键.
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| 关 键 词： | 正解 不动点定理 非齐次 边值问题 |
Positive solution to third-order three-point nonhomogeneous boundary value problems |
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| LIU Shao-shuai
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MA De-xiang.Positive solution to third-order three-point nonhomogeneous boundary value problems[J].Journal of Shananxi University of Technology:Natural Science Edition,2012,28(5):49-54. |
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| Authors: | LIU Shao-shuai MA De-xiang |
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| Institution: | (School of Mathematics,North China Electric Power University,Beijing 102206,China) |
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| Abstract: | In this paper,the third-order three-point nonhomogeneous boundary value problems with parameter were studied.By employing the Guo-krasnosel′skii fixed point theorem,the boundary value problems were obtained.It has at least one positive solution to the parameter which is small enough and has no positive solution to the parameter which is large enough.The key of the paper is to get a corresponding Green′s function. |
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| Keywords: | positive solution fixed point theorem nonhomogeneous boundary value problems |
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