UNIQUENESS OF THE SOLUTION OF HALF INVERSE PROBLEM FOR THE IMPULSIVE STURM LIOUVILLE OPERATOR

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Ozkan A. S., KESKİN B., ÇAKMAK Y.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.50, sa.2, ss.499-506, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.4134/bkms.2013.50.2.499
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.499-506
  • Anahtar Kelimeler: Sturm-Liouville operator, determination of the potential, discontinuous condition, half inverse problem
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The half-inverse spectral problem for an impulsive Sturm-Liouville operator consists in reconstruction of this operator from its spectrum and half of the potential. In this study, the spectrum of the impulsive Sturm-Liouville problem is given and by using the Hochstadt and Lieberman's method we show that if q(x) is prescribed on (0, pi/2), then only one spectrum is sufficient to determine q(x) on the interval (0, pi) for this problem