A note on the spectral singularities of non-selfadjoint matrix-valued difference operators

YARDIMCI Ş.

Journal of Computational and Applied Mathematics, cilt.234, sa.10, ss.3039-3042, 2010 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 234 Sayı: 10
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.cam.2010.04.017
  • Dergi Adı: Journal of Computational and Applied Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3039-3042
  • Anahtar Kelimeler: Difference equations, Jost solution, Spectral analysis
  • Ankara Üniversitesi Adresli: Evet

Özet

Let L denote the non-selfadjoint operator generated in ℓ2(N,E) by the matrix difference expression (ℓy)n=An-1yn-1+B nyn+Anyn+1, n∈N, and the boundary condition y0=0. In this paper we investigate the Jost solution, the continuous spectrum, the eigenvalues and the spectral singularities of L. © 2010 Elsevier B.V. All rights reserved.