Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential

Authors

  • Anar Nabiev Department of Mathematics, Faculty of Sciences, Cumhuriyet University, 58140, Sivas, Turkey
  • Rauf Amirov Department of Mathematics, Faculty of Sciences, Cumhuriyet University, 58140, Sivas, Turkey
Abstract:

In the present work, under some di¤erentiability conditions on the potential functions , we …rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructing of the potential functions of the equation in that case when there is no a discrete spectrum

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Journal title

volume 9  issue 2

pages  224- 242

publication date 2020-09-01

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