Spectral singularities of the matrix Schrodinger equations

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BAYRAM E., Celiesoy Ş.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.45, sa.4, ss.1007-1014, 2016 (SCI-Expanded, Scopus, TRDizin) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.15672/hjms.20164514275
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1007-1014
  • Anahtar Kelimeler: Differential Equations, Jost Function, Eigenvalues, Spectral Singularities, EIGENFUNCTION EXPANSION, BOUNDARY-CONDITION, QUADRATIC PENCIL, OPERATORS, ADJOINT
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we investigate analytical and asymptotical properties of the Jost function of the matrix Schrodinger equation. Later, using the analytic continuation and the uniqueness theorems of analytic functions we study the eigenvalues and the spectral singularities of that equation.