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带转移条件的四阶微分方程边值问题的特征值的依赖性 被引量：4

Dependence of Eigenvalues of Fourth-Order Boundary Value Problems with Interface Conditions
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摘要 研究带转移条件的四阶微分方程边值问题的特征值对边界条件及转移条件的连续依赖性和可微依赖性,并给出了特征值关于这些参数所满足的微分表达式. This paper investigates fourth-order boundary value problems with interface conditions. We obtain that the eigenvalues depend not only continuously but also smoothly on the boundary conditions and interface conditions. An expression for the derivative of the eigenvalues with respect to these parameters is given.
作者 吕晓霞 敖继军 LV Xiao-xia AO Ji-jun(College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China)
机构地区 内蒙古工业大学理学院
出处 《数学的实践与认识》 北大核心 2016年第21期275-284,共10页 Mathematics in Practice and Theory
基金 国家自然科学基金(11301259 11661059) 内蒙古自然科学基金(2013MS0105) 内蒙古自治区高等学校科研研究项目(NJZY094)
关键词 四阶边值问题 转移条件 依赖性 边界条件 微分表达式 fourth-order boundary value problems interface conditions dependence of eigenvalues boundary conditions differential expression
分类号 O175.8 [理学—基础数学]
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参考文献9

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二级参考文献24

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数学的实践与认识
2016年 第21期

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