Difference equations with a point interaction

Bayram E., Cebesoy S., Erdal İ.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.42, sa.16, ss.5498-5508, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 16
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1002/mma.5449
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.5498-5508
  • Anahtar Kelimeler: asymptotic, difference equations, eigenvalues, impulsive conditions, spectral singularities, spectrum, SPECTRAL-ANALYSIS, 2ND-ORDER, OPERATORS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we consider an impulsive second-order difference equation on the whole axis. We determine eigenvalues, spectral singularities, continuous spectrum corresponding to this difference equation with an impulsive condition by using the asymptotic properties of Jost functions, and uniqueness theorems of analytic functions. Finally, we demonstrate that the impulsive difference equation has finite number of eigenvalues and spectral singularities with finite multiplicities under certain conditions.