The structure of the spectrum of a system of difference equations

BAYRAM E., Coskun C.

APPLIED MATHEMATICS LETTERS, cilt.18, sa.4, ss.387-394, 2005 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 4
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.aml.2004.01.009
  • Dergi Adı: APPLIED MATHEMATICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.387-394
  • Anahtar Kelimeler: difference equations, spectral analysis, discrete spectrum, spectral singularities, SCHRODINGER OPERATOR, BOUNDARY-CONDITION, QUADRATIC PENCIL, SINGULARITIES, EXPANSION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we investigate the structure of the discrete spectrum of the system of non-selfadjoint difference equations of first order using the uniqueness theorems of analytic functions. We also obtained the sufficient conditions on coefficients of this system under which its discrete spectrum is finite. (c) 2004 Elsevier Ltd. All rights reserved.