Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm

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Abstract: We study linear differential equations whose coefficients consist of products of powers of natural logarithm and general continuous functions. We derive conditions that guarantee the non-oscillation of all non-trivial solutions of the treated type of equations. The conditions are formulated as a non-oscillation criterion, which is the counterpart of a previously obtained oscillation theorem. Therefore, from the presented main result, it follows that the analysed equations are conditionally oscillatory. The used method is based on averaging techniques for the combination of the generalized adapted Prüfer angle and the modified Riccati transformation. This article is finished by new corollaries and examples.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm ; volume:22 ; number:1 ; year:2024 ; extent:13
Open mathematics ; 22, Heft 1 (2024) (gesamt 13)

Creator: Šišoláková, Jiřina

DOI: 10.1515/math-2024-0012

URN: urn:nbn:de:101:1-2406131631065.397854921582

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 10:59 AM CEST

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Šišoláková, Jiřina

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Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm

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