Oscillation criterion for linear equations with coefficients containing powers of natural logarithm

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Authors

HASIL Petr POSPÍŠIL Michal ŠIŠOLÁKOVÁ Jiřina VESELÝ Michal

Year of publication 2024
Type Article in Periodical
Magazine / Source Monatshefte für Mathematik
MU Faculty or unit

Faculty of Science

Citation
Web https://link.springer.com/article/10.1007/s00605-023-01910-6
Doi http://dx.doi.org/10.1007/s00605-023-01910-6
Keywords Linear differential equation; Oscillation; Averaging technique; Prüfer angle; Logarithm
Description Applying an averaging technique for the adapted Prüfer angle, we obtain an oscillation criterion for linear second order differential equations whose coefficients consist of products of powers of natural logarithm and general (bounded or unbounded) continuous functions. The presented criterion is illustrated by new corollaries and examples. The novelty is caused by the used averaging technique over unbounded intervals.
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