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Sturmm-liouville问题前两个特征值间距的估计 被引量:4

Estimate of the Gap of the First Two Eigenvalues of Strumm-liouville Problem
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摘要 通过将Sturmm-liouville问题的特征值与一类方程的实根建立一一对应关系,从而给出了一般分离型边条件下势函数为常函数的Sturmm-liouville问题的第一,第二特征值之差的一个上界和下界. This paper gives the estimate of upper and lower bound for the first two eigenvalues of Sturmm - liouville problem with general separate type of boundary conditions by setting one -one relation between the eigenvalues of Sturmm - liouville problem and the real roots of one kind of equation.
作者 向会立
出处 《湖北民族学院学报(自然科学版)》 CAS 2007年第2期148-150,共3页 Journal of Hubei Minzu University(Natural Science Edition)
关键词 一般分离型边条件 Sturmm-liouville问题 特征值间距估计 general separate type of boundary condition Sturmm - liouville problem estimate of the gap of eigenvalues
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参考文献6

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  • 2Miklos Horvath.On the first two eigenvalues of Sturmm-Liouville operators[J].Proceedings,2003,131(4):1 215-1 224.
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同被引文献18

  • 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
  • 2尚在久 朱瑞英.(-∞,∞)上对称微分算子的自伴域.内蒙古大学学报:自然科学版,1986,17(1):17-28.
  • 3Miklos Horvath. on the first two eigenvalucs of Sturm - Liouville operators [ J ]. Proceedings,2003,131 (4) : 1 215 - 1 224.
  • 4Richard Lavine. The eigenvalue gap for one -dimensional convex potentials[ J]. Proceedings of the American Mathematical Society, 1994,121 (3) :895 -902.
  • 5Richard Lavine.'The eigenvalues gap for one dimensional convex potentials[ J]. Proceeding,2003,124(4) :815 -821.
  • 6Kobayashi M. Eigenvalues of discontinuous Sturm - Liouville problems with symmetric potentials [ J ]. Computers Math Applic, 1989,18 ( 4 ) : 357 - 364.
  • 7Benguria R. A note on the Gap between the first two eigenvalue for theSchrodinger operator[ J ]. J Phys A, 1986 ( 19 ) :477 -478.
  • 8王高雄,周之铭.常微分方程(第2版)[M].北京:高等教育出版社,1996.
  • 9Richard Lavine. The eigenvalues gap for one dimensional convex potentials Proceeding[ J]. 2003,124(4) :815 -821.
  • 10Binding P A, Browne Patrick J. Oscillation theory for indefinite Strum - Liouville problem with eigenparameter dependent conditions[ J]. Proc Roy Soc Edinburg Sect, 1997,127A(6 ) : 1123 - 1136.

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