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三阶非线性三点边值问题的正解

Existence of positive solutions for a class of third-order three-point boundary value problem
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摘要 利用Krasnoselskii不动点定理及Ascoli-Arzela定理,研究含参数的非线性三阶三点边值问题,证明当参数取值范围不同时,该边值问题的正解存在性与不存在性. A class of nonlinear parameters of three order boundary value problem,by using the fixed point index theorem and Green function estimation,we prove the existence of positive solutions of the problem.
作者 孔令彬 金前德
机构地区 东北石油大学数学与统计学院
出处 《东北石油大学学报》 CAS 北大核心 2014年第5期121-126,12,共6页 Journal of Northeast Petroleum University
基金 黑龙江省教育厅科学技术研究项目(12541076)
关键词 非线性三阶三点边值问题 存在性 正解 third-order boundary value problem existence positive solutions
分类号 O175.8 [理学—基础数学]
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参考文献16

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二级参考文献33

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共引文献15

东北石油大学学报
2014年 第5期

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