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Dergiler / Turkish Journal of Mathematics and Computer Science / 2022 / Cilt: 14 - Sayı: 2

Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions

Rauf AMİROV
Selma GÜLYAZ ÖZYURT
Sayfa
292–305
Yayın Tarihi
2022-12-30
DOI
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Finally, in the paper we prove uniqueness of the determination of the potential by the scattering data.

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Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Finally, in the paper we prove uniqueness of the determination of the potential by the scattering data.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Impulse conditions · inverse problem · kernel

Abstract

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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Bu Makaleye Atıf Yap

AMİROV, R., ÖZYURT, S. G. (2022). Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. Turkish Journal of Mathematics and Computer Science, Cilt: 14 - Sayı: 2, 292–305. https://ajindex.com/articles/865179

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Kaynakça (13)

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