New Criteria of Oscillation for Linear Sturm–Liouville Delay Noncanonical Dynamic Equations

Taher S. Hassan (), Martin Bohner, Iambor Loredana Florentina (), Amir Abdel Menaem and Mouataz Billah Mesmouli
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Taher S. Hassan: Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia
Martin Bohner: Department of Mathematics and Statistics, Missouri S&T, Rolla, MO 65409-0020, USA
Iambor Loredana Florentina: Department of Mathematics and Computer Science, University of Oradea, Univeritatii nr.1, 410087 Oradea, Romania
Amir Abdel Menaem: Department of Automated Electrical Systems, Ural Power Engineering Institute, Ural Federal University, 620002 Yekaterinburg, Russia
Mouataz Billah Mesmouli: Department of Mathematics, College of Science, University of Ha’il, Ha’il 2440, Saudi Arabia

Mathematics, 2023, vol. 11, issue 23, 1-9

Abstract: In this work, we deduce a new criterion that guarantees the oscillation of solutions to linear Sturm–Liouville delay noncanonical dynamic equations; these results emulate the criteria of the Hille and Ohriska types for canonical dynamic equations, and these results also solve an open problem in many works in the literature. Several examples are offered, demonstrating that the findings achieved are precise, practical, and adaptable.

Keywords: oscillation behavior; linear; second order; dynamic equations; time scales (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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