Inverse problem of scattering theory for a class one-dimensional Schrodinger equation

Mamedov K. R. , Nabiev A.

QUAESTIONES MATHEMATICAE, cilt.42, sa.7, ss.841-856, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Konu: 7
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2989/16073606.2018.1498814
  • Dergi Adı: QUAESTIONES MATHEMATICAE
  • Sayfa Sayıları: ss.841-856

Özet

In this work, direct and inverse scattering problem on the real axis for the Schrodinger equation with piecewise-constant coefficient are studied. Using the new integral representations for solutions, the scattering data is defined, the main integral equations of the inverse scattering problem are obtained, the spectral characteristics of the scattering data are investigated and uniqueness theorem for the solution of inverse problem is proved.