Oscillation of modified Euler type half-linear differential equations via averaging technique
Date
2022-06-27
Authors
Hasil, Petr
Sisolakova, Jirina
Vesely, Michal
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In 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.
Description
Keywords
Half-linear equations, Linear equations, Prufer angle, Oscillation criterion, Averaging technique
Citation
Hasil, 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.
Rights
Attribution 4.0 International