Hasil, PetrSisolakova, JirinaVesely, Michal2023-04-182023-04-182022-06-27Hasil, P., Šisoláková, J., & Veselý, M. (2022). Oscillation of modified Euler type half-linear differential equations via averaging technique. <i>Electronic Journal of Differential Equations, 2022</i>(41), pp. 1-16.1072-6691https://hdl.handle.net/10877/16600In this article, we analyze the oscillation behavior of half-linear differential equation (r(t)tp-1 ɸ(x′))′ + s(t)/t log p t ɸ(x) = 0, ɸ(x) = |x|p-1 sgnx, p > 1. Applying the modified half-linear Prufer angle and a general averaging technique over unbounded intervals, we prove an oscillation criterion for the studied equation. We point out that the presented oscillation criterion is new even in the linear case when p=2.Text16 pages1 file (.pdf)enAttribution 4.0 InternationalHalf-linear equationsLinear equationsPrufer angleOscillation criterionAveraging techniqueArticle