On the spectral and scattering properties of eigenparameter dependent discrete impulsive Sturm-Liouville equations

AYGAR KÜÇÜKEVCİLİOĞLU Y., Bairamov E., Ozbey G. G.

TURKISH JOURNAL OF MATHEMATICS, cilt.45, sa.2, ss.988-1000, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2101-45
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.988-1000
  • Anahtar Kelimeler: Impulsive condition, discrete Sturm?Liouville equation, spectral parameter, eigenvalue, resolvent operator, scattering solution, scattering function, BOUNDARY-VALUE-PROBLEMS, PULSE VACCINATION, CONTROLLABILITY
  • Ankara Üniversitesi Adresli: Evet

Özet

This work develops scattering and spectral analysis of a discrete impulsive Sturm?Liouville equation with spectral parameter in boundary condition. Giving the Jost solution and scattering solutions of this problem, we find scattering function of the problem. Discussing the properties of scattering function, scattering solutions, and asymptotic behavior of the Jost solution, we find the Green function, resolvent operator, continuous and point spectrum of the problem. Finally, we give an example in which the main results are made explicit.