Inverse spectral problem for Sturm Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition
Yazarlar (1)
Prof. Dr. Aynur ÇÖL Sinop Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Advances in Difference Equations
Dergi ISSN 1687-1839
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce Basım Tarihi 04-2015
Cilt / Sayı / Sayfa 2015 / 1 / – DOI 10.1186/s13662-015-0478-7
Makale Linki http://www.advancesindifferenceequations.com/content/2015/1/132
UAK Araştırma Alanları
Matematik
Özet
In this paper, the inverse scattering problem for the Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of the spectral parameter in the boundary condition is considered. The scattering data of the problem is defined, and its properties are investigated. The modified Marchenko main equation is obtained and it is shown that the potential is uniquely recovered by the scattering data.
Anahtar Kelimeler
discontinuous coefficient | inverse problem | scattering data | spectral parameter | Sturm-Liouville operator