| 一类两个边界带特征参数的不连续四阶微分算子的自共轭性 |
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| 引用本文： | 张新艳,孙炯. 一类两个边界带特征参数的不连续四阶微分算子的自共轭性[J]. 应用数学, 2011, 24(3) |
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| 作者姓名： | 张新艳 孙炯 |
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| 作者单位： | 1. 内蒙古大学数学科学学院,内蒙古呼和浩特010021;内蒙古财经学院统计与数学学院,内蒙古呼和浩特010070
2. 内蒙古大学数学科学学院,内蒙古呼和浩特,010021 |
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| 基金项目： | 国家自然科学基金(10861008) |
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| 摘 要： | 本文研究了一类具有特殊转移条件且两个边界条件中带有特征参数的四阶微分算子的自共轭性问题.建立了一个与其相关的新的空间H,将上述问题的研究转化为对此空间中一个线性算子A的研究.
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| 关 键 词： | 特征参数 转移条件 自共轭性 四阶微分算子 |
The Self-adjointness of a Class of Discontinuous Fourth-order Differential Operators with Eigenvalue Parameter in Two Boundary Conditions |
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| ZHANG Xinyan , SUN Jiong. The Self-adjointness of a Class of Discontinuous Fourth-order Differential Operators with Eigenvalue Parameter in Two Boundary Conditions[J]. Mathematica Applicata, 2011, 24(3) |
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| Authors: | ZHANG Xinyan SUN Jiong |
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| Affiliation: | ZHANG Xinyan1,2SUN Jiong1(1.School of Mathematics Sciences,Inner Mongolia University,Hohhot010021,China,2.College of Statistics and Mathematics,Inner Mongolia University of Finance and Economics,Hohhot010070,China) |
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| Abstract: | This paperis toinvestigate the self-adjointness of a class of fourth-order differential operator with special transmission conditions and eigenvalue parameter intwo boundary conditions.A self-adjoint linear operatorAis defined in a suitable Hilbert space H such that these problems are transformedinto those of operator A. |
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| Keywords: | Eigenvalue parameter Transmission condition Self-adjointness Fourth-order differential operator |
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