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两项自伴向量微分算子的谱是离散的充分条件(英文) 被引量:2

Conditions for the Discreteness of Spectra of Two-item Self-adjoint Vector Differential Operators
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摘要 研究了两项二阶自伴向量微分算子,得到了其谱是离散时系数矩阵满足的条件. Two-item second order self-adjoint vector differential operator is studied. And the conditions of the coefficient matrix for the discreteness of spectrum are obtained.
作者 刘肖云 王忠
出处 《内蒙古大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第2期153-156,共4页 Journal of Inner Mongolia University:Natural Science Edition
基金 Supported by the Natural Science Fundation Item of Guangdong Province~~
关键词 自伴向量微分算子 离散谱 本质谱 self-adjoint vector differential operator discrete spectrum essentialspectrum
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参考文献4

  • 1孙炯,王忠.常微分算子谱的定性分析[J].数学进展,1995,24(5):406-422. 被引量:31
  • 2Glazman I M. Derict Methods of Qualitative Spectral Analysis of Singulal Differential Operators [M]. Jerusalem:Isreal Program for Seientifie Translation, 1965.
  • 3Sun Jiong,Wang Zhong. The Spectrum analysis of linear operators [M]. Be iJing:Seience Press, 2005.
  • 4Wang Zhong. On the Discrete Spectrum of a class of Differential Operators [J] Acta Mathematica Sinica, 2001, 44(1) :95-102.

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