Half Inverse Problem for the Sturm-Liouville Operator with Coulomb potential

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Sat M.

APPLIED MATHEMATICS & INFORMATION SCIENCES, vol.8, no.2, pp.501-504, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 2014
  • Doi Number: 10.12785/amis/080207
  • Journal Name: APPLIED MATHEMATICS & INFORMATION SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.501-504
  • Erzincan Binali Yildirim University Affiliated: No

Abstract

In this paper, we discuss a half inverse problem for the Sturm-Liouville operator with Coulomb potential and show that if q(x) is prescribed on [pi/2,pi] then only one spectrum is sufficient to determine potential function q(x) on the whole interval (0,pi].