Integral representations for the solutions of the quadratic pencil of the Sturm-Liouville equation with discontinuous coefficients

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Published Jun 28, 2023

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Anar Adiloğlu Nabiev
Suleyman Demirel University, Turkey
Mehmet Onur Özgür
Suleyman Demirel University, Turkey

Abstract

In this study we construct new integral representations of Jost-type solutions of the quadratic pencil of the Sturm-Liouville equation with piece-wise constans coefficient on the entire axis under some boundness conditions of the potential functions.

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ADILOĞLU NABIEV, Anar; ÖZGÜR, Mehmet Onur. Integral representations for the solutions of the quadratic pencil of the Sturm-Liouville equation with discontinuous coefficients. Journal of Multidisciplinary Developments, [S.l.], v. 8, n. 1, p. 9-19, june 2023. ISSN 2564-6095. Available at: <http://www.jomude.com/index.php/jomude/article/view/104>. Date accessed: 21 jan. 2025.
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Issue
Vol 8 No 1 (2023): "Beyond of the Universe": Volume: 8, Issue: 1
Section
Natural Sciences - Regular Research Paper

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References

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