Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations

İbrahim Erdal

doi:10.31801/cfsuasmas.1814903

Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations

Abstract

In this study, we consider the Klein–Gordon s-wave equation defined on the half line under impulsive condition and construct the corresponding differential operator. We then introduce the transfer matrices associated with the impulsive Klein–Gordon s-wave operator on the half line and employ them to analyze the scattering function and its analytic structure through an alternative operator-theoretic method. This approach enables a new characterization of the scattering behavior and establishes connections between the analytic properties of the transfer matrices and the spectral features of the operator. In the final part of the study, we construct the resolvent operator and examine its analytic structure.

Keywords

References

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Details

Primary Language

English

Subjects

Operator Algebras and Functional Analysis

Journal Section

Research Article

Authors

İbrahim Erdal ^*
0000-0002-4445-2389
Türkiye

Early Pub Date

January 26, 2026

Publication Date

January 26, 2026

Submission Date

October 31, 2025

Acceptance Date

January 13, 2026

Published in Issue

Year 2026 Number: Advanced Online Publication

DOI

https://doi.org/10.31801/cfsuasmas.1814903

IZ

https://izlik.org/JA88ZS35UU

Cite

RIS / Bibtex

APA

Erdal, İ. (2026). Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Advanced Online Publication, 1-16. https://doi.org/10.31801/cfsuasmas.1814903

AMA

1.Erdal İ. Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;(Advanced Online Publication):1-16. doi:10.31801/cfsuasmas.1814903

Chicago

Erdal, İbrahim. 2026. “Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, no. Advanced Online Publication: 1-16. https://doi.org/10.31801/cfsuasmas.1814903.

EndNote

Erdal İ (January 1, 2026) Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Advanced Online Publication 1–16.

IEEE

[1]İ. Erdal, “Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., no. Advanced Online Publication, pp. 1–16, Jan. 2026, doi: 10.31801/cfsuasmas.1814903.

ISNAD

Erdal, İbrahim. “Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics. Advanced Online Publication (January 1, 2026): 1-16. https://doi.org/10.31801/cfsuasmas.1814903.

JAMA

1.Erdal İ. Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026;:1–16.

MLA

Erdal, İbrahim. “Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, no. Advanced Online Publication, Jan. 2026, pp. 1-16, doi:10.31801/cfsuasmas.1814903.

Vancouver

1.İbrahim Erdal. Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2026 Jan. 1;(Advanced Online Publication):1-16. doi:10.31801/cfsuasmas.1814903