Scattering theory of the quadratic eigenparameter depending impulsive Sturm-Liouville equations

ÖZNUR G. B., Bairamov E.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.1, ss.406-415, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2105-71
  • 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.406-415
  • Anahtar Kelimeler: Differential equation, Jost solution, Jost function, impulsive operator, asymptotic, spectral parameter
  • Gazi Üniversitesi Adresli: Evet

Özet

We handle an impulsive Sturm-Liouville boundary value problem. We find the Jost solution, Jost function, and scattering function of this problem and examine the properties of scattering function. We also study eigenvalues and resolvent operator of this problem. Finally, we exemplify our work by taking a different problem.