Turkish Journal of Mathematics and Computer Science

Yazarlar: ["Rauf AMİROV", "Selma GÜLYAZ ÖZYURT"]

Konular:-

DOI:10.47000/tjmcs.1136596

Anahtar Kelimeler:Impulse conditions,Inverse problem,Kernel,Integral equation

Özet: 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.

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