TY  - JOUR
TI  - Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions
AB  - In this paper, we construct the new integral representation of the Jost solution of Sturm-Liouville equation with impuls in the semi axis $[0,+infty )$ and we give this type of relation, examine the properties of the Kernel function and their partial derivatives with $x$ and $ t$, constructed integral representation and obtain the partial differential equation provided by this Kernel function. Finally, in the paper we prove uniqueness of the determination of the potential by the scattering data.
AU  - ÖZYURT, Selma GÜLYAZ
AU  - amirov, rauf
DO  - 10.47000/tjmcs.1136596
PY  - 2022
JO  - Turkish Journal of Mathematics and Computer Science
VL  - 14
IS  - 2
SN  - 2148-1830
SP  - 292
EP  - 305
DB  - TRDizin
UR  - http://search/yayin/detay/1148714
ER  -