On the Jost Solution and Its Properties of Quantum Difference Equations with Hyperbolic Eigenparameter

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AYGAR KÜÇÜKEVCİLİOĞLU Y.

3th International Conference on Industrial Engineering and Applications (ICIEA), Hong Kong, PEOPLES R CHINA, 28 - 30 Nisan 2016, cilt.68 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 68
  • Doi Numarası: 10.1051/matecconf/20166816005
  • Basıldığı Şehir: Hong Kong
  • Basıldığı Ülke: PEOPLES R CHINA
  • Ankara Üniversitesi Adresli: Evet

Özet

This work is devoted to get Jost solution by the method of variation of parameters and properties of this Jost solution of a boundary value problem (BVP) depending on an hyperbolic eigenparameter. The results obtained are then used to find the Green function, resolvent and continuous spectrum of this BVP by using the methods of operator theory, methods of functional analysis and the general theory of difference equations. Moreover, using the Weyl compact perturbation theorem, we get that the operator L generated by the q-difference expression has continuous spectrum filling the segment [-2 root q, 2 root q].