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.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
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)

Urheber
Šišoláková, Jiřina

DOI
10.1515/math-2024-0012
URN
urn:nbn:de:101:1-2406131631065.397854921582
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 10:59 MESZ

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Beteiligte

  • Šišoláková, Jiřina

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