Spectrum and scattering function of the impulsive discrete Dirac systems

BAYRAM E., Solmaz S.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.6, ss.3182-3194, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 6
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3906/mat-1806-5
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.3182-3194
  • Anahtar Kelimeler: Dirac systems, Jost solution, scattering function, eigenvalues, 4TH-ORDER DIFFERENTIAL OPERATOR, DISSIPATIVE OPERATORS, TRANSMISSION, EQUATIONS, CONTROLLABILITY, EXPANSION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we investigate analytical and asymptotic properties of the Jost solution and Jost function of the impulsive discrete Dirac equations. We also study eigenvalues and spectral singularities of these equations. Then we obtain characteristic properties of the scattering function of the impulsive discrete Dirac systems. Therefore, we find the Jost function, point spectrum, and scattering function of the unperturbed impulsive equations.