Comparison Criteria for Three-Interval Sturm-Liouville Equations

Year 2022, Volume: 14 Issue: 2, 229 - 234, 30.12.2022

Oktay Mukhtarov , Kadriye Aydemir

https://doi.org/10.47000/tjmcs.1012567

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.

Keywords

Sturm-Liouville problems, transmission conditions, Sturm comparison theorems

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