ON IMPULSIVE STURM-LIOUVILLE OPERATORS WITH COULOMB POTENTIAL AND SPECTRAL PARAMETER LINEARLY CONTAINED IN BOUNDARY CONDITIONS

Amirov, RAUF; Topsakal, NİLÜFER; Guldu, YALÇIN

doi:10.1007/s11253-011-0436-9

ON IMPULSIVE STURM-LIOUVILLE OPERATORS WITH COULOMB POTENTIAL AND SPECTRAL PARAMETER LINEARLY CONTAINED IN BOUNDARY CONDITIONS

Amirov R., Topsakal N., Guldu Y.

UKRAINIAN MATHEMATICAL JOURNAL, cilt.62, sa.9, ss.1345-1366, 2011 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 62 Sayı: 9
Basım Tarihi: 2011
Doi Numarası: 10.1007/s11253-011-0436-9
Dergi Adı: UKRAINIAN MATHEMATICAL JOURNAL
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1345-1366
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

The Sturm-Liouville problem with linear discontinuities is investigated in the case where an eigenparameter appears not only in a differential equation but also in boundary conditions. Properties and the asymptotic behavior of spectral characteristics are studied for the Sturm-Liouville operators with Coulomb potential that have discontinuity conditions inside a finite interval. Moreover, the Weyl function for this problem is defined and uniqueness theorems are proved for a solution of the inverse problem with respect to this function.