Khanlar R. Mamedov, Nida P. Kosar, F. Ayca Cetinkaya, “Inverse Scattering Problem for a Piecewise Continuous Sturm-Liouville Equation with Eigenparameter Dependence in the Boundary Conditon”, Proc. of Institute of mathematics and mechanics, 2015, Volume 41, Issue 1,Pages <nobr>16

Inverse Scattering Problem for a Piecewise Continuous Sturm-Liouville Equation with Eigenparameter Dependence in the Boundary Conditon

Khanlar R. Mamedov^ab, Nida P. Kosar^c, F. Ayca Cetinkaya^a

^a University of Mersin
^b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
^c University of Gaziantep

Abstract: In this study, the inverse problem of the scattering theory on the half line for a piecewise continuous Sturm-Liouville equation with boundary condition depending quadratic on the spectral parameter is considered. The scattering data of the problem is defined, some properties of the scattering data are investigated. The main equation is derived and uniqueness algorithm to the potential with given scattering data is studied.

MSC: 34L05, 34L20, 34L25

Received: 09.02.2015
Accepted: 11.03.2015

Language: English