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Journals / Turkish Journal of Mathematics and Computer Science / 2022 / Volume: 14 Issue: 2

Comparison Criteria for Three-Interval Sturm-Liouville Equations

Oktay Mukhtarov(TOKAT GAZIOSMANPASA UNIVERSITY)0000-0001-7480-6857
Kadriye Aydemir(AMASYA ÜNİVERSİTESİ)0000-0002-8378-3949
Pages
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Publication Date
2022-12-30
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⚡ TL;DR(Too Long; Didn't Read)

The results obtained generalize the corresponding classical results of Sturm's comparison and oscillation theory.

📌 3 Key Takeaways

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Objective & Hypothesis:This study devoted to the investigation of comparison properties for periodic Sturm-Liouville problems, defined on three disjoint intervals together with additional transfer conditions across the common endpoint of these intervals, so-called transmission conditions.
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Key Findings & Data:This study devoted to the investigation of comparison properties for periodic Sturm-Liouville problems, defined on three disjoint intervals together with additional transfer conditions across the common endpoint of these intervals, so-called transmission conditions.
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Conclusion & Impact:The results obtained generalize the corresponding classical results of Sturm's comparison and oscillation theory.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Sturm-Liouville problems · transmission conditions · Sturm comparison theorems

Abstract

This study devoted to the investigation of comparison properties for periodic Sturm-Liouville problems, defined on three disjoint intervals together with additional transfer conditions across the common endpoint of these intervals, so-called transmission conditions. The results obtained generalize the corresponding classical results of Sturm's comparison and oscillation theory.

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Cite This Article

Mukhtarov, O., Aydemir, K. (2022). Comparison Criteria for Three-Interval Sturm-Liouville Equations. Turkish Journal of Mathematics and Computer Science, Volume: 14 Issue: 2. https://doi.org/10.47000/tjmcs.1012567

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