Investigation of Spectrum and Scattering Function of Impulsive Matrix Difference Operators

Creative Commons License

BAYRAM E., AYGAR KÜÇÜKEVCİLİOĞLU Y., Cebesoy S.

FILOMAT, cilt.33, sa.5, ss.1301-1312, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1905301b
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1301-1312
  • Anahtar Kelimeler: Impulsive condition, difference operator, Jost solution, scattering function, Sturm-Liouville equation, EQUATIONS, 2ND-ORDER
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we consider a second-order impulsive matrix difference operators. Using the asymptotic and analytical properties of the Jost function, we investigate eigenvalues, spectral singularities, resolvent operator, spectrum and scattering function of this problem. Finally, we study spectrum and scattering function of an unperturbated impulsive matrix difference equation.