@article{Hasil2022, 
author = {Petr Hasil and Michal Veselý},
title = {Conditionally oscillatory linear differential equations with coefficients containing powers of natural logarithm},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {6},
pages = {10681-10699},
keywords = {linear equation, differential equation, conditional oscillation, non-oscillation, logarithm},
url = {https://www.sciopen.com/article/10.3934/math.2022596},
doi = {10.3934/math.2022596},
abstract = {In this paper, we study linear differential equations whose coefficients consist of products of powers of natural logarithm and very general continuous functions. Recently, using the Riccati transformation, we have identified a new type of conditionally oscillatory linear differential equations together with the critical oscillation constant. The studied equations are a generalization of these equations. Applying the modified Prüfer angle, we prove that they remain conditionally oscillatory with the same critical oscillation constant.}
}