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一类具有转移边条件微分算子的自伴性 被引量：1

Self-adjointness of a Class of Differentia Operators with Transforming Boundary Conditions
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摘要 微分算子谱的研究,在热力学中具有很广泛的应用,本文构建了一个新的H ilbert空间,并在这个空间上讨论了一类具有转移边条件的内部奇异微分算子的自伴性. The research of spectrum of differential operator is extensively applied in the thermodynamics. In this paper, we proved the self - adjointness of a class of differential operators with transferming boundary conditions in a new Hilbert space.
作者 向会立 周敏 蹇小平
机构地区 湖北民族学院理学院 宣恩县第一中学
出处 《湖北民族学院学报（自然科学版）》 CAS 2008年第1期25-27,共3页 Journal of Hubei Minzu University(Natural Science Edition)
基金 湖北民族学院青年项目
关键词 转移边条件 微分算子 自伴性 transforming boundary conditions differentiall operator self - adjointness
分类号 O175.3 [理学—基础数学]
  • 相关文献

参考文献9

  • 1王爱平,孙炯.一类具有转移条件的微分算子的自共轭性[J].内蒙古大学学报（自然科学版）,2005,36(6):618-621. 被引量：13
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  • 4Richard Lavine. The eigenvalues gap for one dimensional convex potentials Proceeding[ J]. 2003,124(4) :815 -821.
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  • 9向会立.Sturmm-liouville问题前两个特征值间距的估计[J].湖北民族学院学报（自然科学版）,2007,25(2):148-150. 被引量：4

二级参考文献13

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共引文献20

同被引文献6

  • 1向会立.Sturmm-liouville问题前两个特征值间距的估计[J].湖北民族学院学报（自然科学版）,2007,25(2):148-150. 被引量：4
  • 2Miklos Horvath. on the first two eigenvalucs of Sturm - Liouville operators [ J ]. Proceedings,2003,131 (4) : 1 215 - 1 224.
  • 3Richard Lavine. The eigenvalue gap for one -dimensional convex potentials[ J]. Proceedings of the American Mathematical Society, 1994,121 (3) :895 -902.
  • 4Richard Lavine.'The eigenvalues gap for one dimensional convex potentials[ J]. Proceeding,2003,124(4) :815 -821.
  • 5Kobayashi M. Eigenvalues of discontinuous Sturm - Liouville problems with symmetric potentials [ J ]. Computers Math Applic, 1989,18 ( 4 ) : 357 - 364.
  • 6Benguria R. A note on the Gap between the first two eigenvalue for theSchrodinger operator[ J ]. J Phys A, 1986 ( 19 ) :477 -478.

引证文献1

二级引证文献3

湖北民族学院学报（自然科学版）
2008年 第1期

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