Journals / Hacettepe Journal of Mathematics and Statistics / 2019 / Cilt: 48 - Sayı: 5

Investigation of an impulsive Sturm-Liouville operator on semi axis

Pages
1409–1416
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

By the help of analytical properties of the Jost solution and asymptotic properties of a transfer matrix $M$, we examine the existence of the spectral singularities and eigenvalues of the impulsive operator generated by the Sturm-Liouville equation.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The objective of this work is to investigate some spectral properties of an impulsive Sturm-Liouville boundary value problem on the semi axis.
📊
Key Findings & Data:The objective of this work is to investigate some spectral properties of an impulsive Sturm-Liouville boundary value problem on the semi axis.
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Conclusion & Impact:By the help of analytical properties of the Jost solution and asymptotic properties of a transfer matrix $M$, we examine the existence of the spectral singularities and eigenvalues of the impulsive operator generated by the Sturm-Liouville equation.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Sturm-Liouville operators · boundary value problems · impulsive conditions

Abstract

The objective of this work is to investigate some spectral properties of an impulsive Sturm-Liouville boundary value problem on the semi axis. By the help of analytical properties of the Jost solution and asymptotic properties of a transfer matrix $M$, we examine the existence of the spectral singularities and eigenvalues of the impulsive operator generated by the Sturm-Liouville equation.

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Cite This Article

Yardımcı, Ş., Erdal, İ. (2022). Investigation of an impulsive Sturm-Liouville operator on semi axis. Hacettepe Journal of Mathematics and Statistics, Cilt: 48 - Sayı: 5, 1409–1416. https://ajindex.com/articles/530153

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