Title page for etd-0723106-050528


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URN etd-0723106-050528
Author Shuo-Chi Lee
Author's Email Address No Public.
Statistics This thesis had been viewed 5063 times. Download 1165 times.
Department Applied Mathematics
Year 2005
Semester 2
Degree Master
Type of Document
Language English
Title The nature of spectrum for some singular Sturm-Liouville operators
Date of Defense 2006-07-14
Page Count 56
Keyword
  • spectrum
  • Sturm-Liouville
  • Abstract We give a report on the Sturm-Liouville problem defined on semi-infinite interval. Here as an extension of the Fourier expansion, we have a Parseval equality involving a Fourier integral with respect to a spectral function rho. This function rho is also related to Titchmarsh-Weyl m-function m(lambda) giving L2 solutions of the problem. The spectrum can be viewed as nonconstant points of the spectral function. Following Titchmarsh’s monograph, we shall investigate the nature of the spectrum associated with different asymptotic behaviors of the potential function q, namely, when q→∞, q→0 or q→-∞.
    Advisory Committee
  • Wei-Cheng Lian - chair
  • Tzon-Tzer Lu - co-chair
  • Chun-Kong Law - advisor
  • Files
  • etd-0723106-050528.pdf
  • indicate access worldwide
    Date of Submission 2006-07-23

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