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@article{2418609,
author = {Šišoláková, Jiřina},
article_number = {1},
doi = {http://dx.doi.org/10.1515/math-2024-0012},
keywords = {linear equation; oscillation theory; non-oscillation; Riccati equation; Pr & uuml;fer angle},
language = {eng},
issn = {2391-5455},
journal = {Open Mathematics},
title = {Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm},
url = {https://www.degruyter.com/document/doi/10.1515/math-2024-0012/html},
volume = {22},
year = {2024}
}
TY - JOUR
ID - 2418609
AU - Šišoláková, Jiřina
PY - 2024
TI - Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm
JF - Open Mathematics
VL - 22
IS - 1
SP - 1-13
EP - 1-13
PB - De Gruyter
SN - 23915455
KW - linear equation
KW - oscillation theory
KW - non-oscillation
KW - Riccati equation
KW - Pr &
KW - uuml;fer angle
UR - https://www.degruyter.com/document/doi/10.1515/math-2024-0012/html
N2 - 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 Pr & uuml;fer angle and the modified Riccati transformation. This article is finished by new corollaries and examples.
ER -
ŠIŠOLÁKOVÁ, Jiřina. Non-oscillation of linear differential equations with coefficients containing powers of natural logarithm. \textit{Open Mathematics}. De Gruyter, 2024, vol.~22, No~1, p.~1-13. ISSN~2391-5455. Available from: https://dx.doi.org/10.1515/math-2024-0012.
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