| HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Oscillation of modified Euler type half-linear differential equations via averaging technique. Electronic Journal of Differential Equations. Texas State University, 2022, vol. 2022, No 41, p. 1-16. ISSN 1072-6691. |
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@article{1875517,
author = {Hasil, Petr and Šišoláková, Jiřina and Veselý, Michal},
article_number = {41},
keywords = {Half-linear equations; linear equations; Prüfer angle; oscillation criterion; averaging technique},
language = {eng},
issn = {1072-6691},
journal = {Electronic Journal of Differential Equations},
title = {Oscillation of modified Euler type half-linear differential equations via averaging technique},
url = {https://ejde.math.txstate.edu/Volumes/2022/41/hassil.pdf},
volume = {2022},
year = {2022}
}
TY - JOUR
ID - 1875517
AU - Hasil, Petr - Šišoláková, Jiřina - Veselý, Michal
PY - 2022
TI - Oscillation of modified Euler type half-linear differential equations via averaging technique
JF - Electronic Journal of Differential Equations
VL - 2022
IS - 41
SP - 1-16
EP - 1-16
PB - Texas State University
SN - 10726691
KW - Half-linear equations
KW - linear equations
KW - Prüfer angle
KW - oscillation criterion
KW - averaging technique
UR - https://ejde.math.txstate.edu/Volumes/2022/41/hassil.pdf
N2 - In this article, we analyze the oscillation behavior of half-linear differential equation (r(t)t^(p-1)Phi(x'))' + s(t)/(t log^p t) Phi(x) = 0, Phi(x) = |x|^(p-1) sgn x, p > 1. Applying the modified half-linear Prüfer 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.
ER -
HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Oscillation of modified Euler type half-linear differential equations via averaging technique. \textit{Electronic Journal of Differential Equations}. Texas State University, 2022, vol.~2022, No~41, p.~1-16. ISSN~1072-6691.
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