Comparison Criteria for Three-Interval Sturm-Liouville Equations

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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