UNIQUENESS OF THE SOLUTION OF HALF INVERSE PROBLEM FOR THE IMPULSIVE STURM LIOUVILLE OPERATOR
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.50, sa.2, ss.499-506, 2013 (SCI-Expanded, Scopus)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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