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

Rauf AMİROV, (Sivas Cumhuriyet Üniversitesi, Fen Fakültesi, Matematik Bölümü, Sivas, Türkiye)
Selma GÜLYAZ ÖZYURT (Sivas Cumhuriyet Üniversitesi, Fen Fakültesi, Matematik Bölümü, Sivas, Türkiye)
Turkish Journal of Mathematics and Computer Science
4 3
Yıl: 2022 Cilt: 14 Sayı: 2 Sayfa Aralığı: 292 - 305 Metin Dili: İngilizce DOI: 10.47000/tjmcs.1136596 İndeks Tarihi: 17-01-2023

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

Öz:
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.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA amirov r, ÖZYURT S (2022). Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. , 292 - 305. 10.47000/tjmcs.1136596
Chicago amirov rauf,ÖZYURT Selma GÜLYAZ Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. (2022): 292 - 305. 10.47000/tjmcs.1136596
MLA amirov rauf,ÖZYURT Selma GÜLYAZ Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. , 2022, ss.292 - 305. 10.47000/tjmcs.1136596
AMA amirov r,ÖZYURT S Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. . 2022; 292 - 305. 10.47000/tjmcs.1136596
Vancouver amirov r,ÖZYURT S Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. . 2022; 292 - 305. 10.47000/tjmcs.1136596
IEEE amirov r,ÖZYURT S "Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions." , ss.292 - 305, 2022. 10.47000/tjmcs.1136596
ISNAD amirov, rauf - ÖZYURT, Selma GÜLYAZ. "Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions". (2022), 292-305. https://doi.org/10.47000/tjmcs.1136596
APA amirov r, ÖZYURT S (2022). Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. Turkish Journal of Mathematics and Computer Science, 14(2), 292 - 305. 10.47000/tjmcs.1136596
Chicago amirov rauf,ÖZYURT Selma GÜLYAZ Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. Turkish Journal of Mathematics and Computer Science 14, no.2 (2022): 292 - 305. 10.47000/tjmcs.1136596
MLA amirov rauf,ÖZYURT Selma GÜLYAZ Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. Turkish Journal of Mathematics and Computer Science, vol.14, no.2, 2022, ss.292 - 305. 10.47000/tjmcs.1136596
AMA amirov r,ÖZYURT S Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. Turkish Journal of Mathematics and Computer Science. 2022; 14(2): 292 - 305. 10.47000/tjmcs.1136596
Vancouver amirov r,ÖZYURT S Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions. Turkish Journal of Mathematics and Computer Science. 2022; 14(2): 292 - 305. 10.47000/tjmcs.1136596
IEEE amirov r,ÖZYURT S "Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions." Turkish Journal of Mathematics and Computer Science, 14, ss.292 - 305, 2022. 10.47000/tjmcs.1136596
ISNAD amirov, rauf - ÖZYURT, Selma GÜLYAZ. "Inverse Scattering Problem for the Sturm-Liouville Equation with Infinite Range of Discontinuous Conditions". Turkish Journal of Mathematics and Computer Science 14/2 (2022), 292-305. https://doi.org/10.47000/tjmcs.1136596
Sayfa Oluşturulma Tarihi
24-04-2024 5:21

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