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
Nabiev, A., & Amirov, R. (2020). Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential. Caspian Journal of Mathematical Sciences, 9(2), 224-242. doi: 10.22080/cjms.2019.17406.1432
MLA
Anar Adiloğlu Nabiev; Rauf Kh Amirov. "Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential", Caspian Journal of Mathematical Sciences, 9, 2, 2020, 224-242. doi: 10.22080/cjms.2019.17406.1432
HARVARD
Nabiev, A., Amirov, R. (2020). 'Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential', Caspian Journal of Mathematical Sciences, 9(2), pp. 224-242. doi: 10.22080/cjms.2019.17406.1432
VANCOUVER
Nabiev, A., Amirov, R. Inverse scattering problem for the Impulsive Schrodinger equation with a polynomial spectral dependence in the potential. Caspian Journal of Mathematical Sciences, 2020; 9(2): 224-242. doi: 10.22080/cjms.2019.17406.1432
)