Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 237, pp. 1-9.

Title: Inverse scattering problems for energy-dependent Sturm-Liouville equations
       with point delta-interaction and eigenparameter-dependent boundary condition

Authors: Manaf Dzh. Manafov (Adiyaman Univ., Adiyaman, 02040, Turkey)
         Abdullah Kablan  (Gaziantep Univ., Gaziantep, 27310, Turkey)

Abstract:
 We consider an inverse problem of the scattering theory for energy-dependent
 Sturm-Liouville equations on the half line $[0,+\infty )$ with point
 $\delta $-interaction and eigenparameter-dependent boundary condition.
 We define the scattering data of the problem first, then consider the
 basic equation and study an algorithm for finding the potentials with the
 given scattering data.

Submitted July 29, 2013. Published October 24, 2013.
Math Subject Classifications: 34A55, 34B24, 47E05.
Key Words: Inverse scattering; scattering data; point delta-interaction; 
           eigenvalue-dependent boundary condition.