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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 48 Issue: 5

Investigation of an impulsive Sturm-Liouville operator on semi axis

Şeyhmus Yardımcı0000-0002-1062-9000
İbrahim Erdal0000-0002-4445-2389
Sayfa
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Yayın Tarihi
2019-10-08
DOI
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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 Maddede Bu Makale

🎯
Amaç & Hipotez:The objective of this work is to investigate some spectral properties of an impulsive Sturm-Liouville boundary value problem on the semi axis.
📊
Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

Yardımcı, Ş., Erdal, İ. (2019). Investigation of an impulsive Sturm-Liouville operator on semi axis. Hacettepe Journal of Mathematics and Statistics, Volume: 48 Issue: 5. https://ajindex.com/articles/1402739

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