Investigation of spectral analysis of matrix quantum difference equations with spectral singularities

AYGAR KÜÇÜKEVCİLİOĞLU Y.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.45, sa.4, ss.999-1005, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.15672/hjms.20164513107
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.999-1005
  • Anahtar Kelimeler: Quantum difference equation, Discrete spectrum, Spectral theory, Spectral singularity, Eigenvalue, SCHRODINGER-OPERATORS, PRINCIPAL FUNCTIONS, DISCRETE SPECTRUM, THEOREMS, JACOBI
  • Ankara Üniversitesi Adresli: Evet

Özet

In tins paper, we investigate the Jost solution, the continuous spectrum, the eigenvalues and the spectral singularities of a nonselfadjoint matrix valued q-difference equation of second order with spectral singularities.