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一类参数边界条件的Sturm-Liouville问题的Krein空间描述 被引量:1

Characterization of a Class of Sturm-Liouville Problem in Krein Space
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摘要 文章考虑边界条件含有参数的Sturm-Liouville问题,用Krein空间的语言描述此问题,得到它可构造Krein空间上的自伴算子. Sturm-Liouville problem with eigenparameters in the boundary conditions is considered.We obtain that it can generate a self-adjoint operator in a Krein space.
作者 张茂柱
机构地区 泰山学院数学系
出处 《太原师范学院学报(自然科学版)》 2008年第1期53-54,共2页 Journal of Taiyuan Normal University:Natural Science Edition
关键词 STURM-LIOUVILLE问题 参数边界条件 KREIN空间 Sturm-Liouville problem eigenparameter dependent two boundary conditions Krein space
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参考文献4

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同被引文献10

  • 1Titeux I, Yakubov Ya. Completeness of root functions for thermal conduction in a stripe with piecewise continuous coefficients [J]. Math Models Methods Appl Sc, 1997, 7(7): 1035-1050.
  • 2Demirci M, Akdogan Z, Mukhtarov O Sh. Asymptotic behavior of eigenvalues and eigenfunctions of one discontinuous boundary-value problem[J]. International Journal of computational Congnition. 2004, 2(3): 101-113.
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  • 7Kong Q, Wu H, Zettle A. Left-definite Sturm-Liouville problems[J]. Differential Equations, 2001, 177: 126.
  • 8王桂霞,孙炯.一类不连续Strum-Liouville问题特征函数的振动性[J].应用数学学报,2008,31(3):500-513. 被引量:5
  • 9王桂霞,孙炯.求解一类不连续的Sturm-Liouville问题[J].系统科学与数学,2009,29(6):839-848. 被引量:4
  • 10赵迎春,孙炯.带有谱参数边界条件且权函数变号的不连续Sturm-Liouville算子[J].系统科学与数学,2011,31(5):597-613. 被引量:1

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