Oscillation of modified Euler type half-linear differential equations via averaging technique
| dc.contributor.author | Hasil, Petr | |
| dc.contributor.author | Sisolakova, Jirina | |
| dc.contributor.author | Vesely, Michal | |
| dc.date.accessioned | 2023-04-18T13:50:01Z | |
| dc.date.available | 2023-04-18T13:50:01Z | |
| dc.date.issued | 2022-06-27 | |
| dc.description.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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 16 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/16600 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2022, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Half-linear equations | |
| dc.subject | Linear equations | |
| dc.subject | Prufer angle | |
| dc.subject | Oscillation criterion | |
| dc.subject | Averaging technique | |
| dc.title | Oscillation of modified Euler type half-linear differential equations via averaging technique | |
| dc.type | Article |