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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, roč.~22, č.~1, s.~1-13. ISSN~2391-5455. Dostupné z: https://dx.doi.org/10.1515/math-2024-0012.
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