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@article{1673348,
author = {Šišoláková, Jiřina},
article_location = {Hoboken},
article_number = {2},
doi = {http://dx.doi.org/10.1002/mma.6828},
keywords = {linear equations; half-linear equations; oscillation theory; non-oscillation criterion; Riccati equation; Prüfer angle},
language = {eng},
issn = {0170-4214},
journal = {Mathematical Methods in the Applied Sciences},
title = {Non-oscillation of linear and half-linear differential equations with unbounded coefficients},
url = {https://doi.org/10.1002/mma.6828},
volume = {44},
year = {2021}
}
TY - JOUR
ID - 1673348
AU - Šišoláková, Jiřina
PY - 2021
TI - Non-oscillation of linear and half-linear differential equations with unbounded coefficients
JF - Mathematical Methods in the Applied Sciences
VL - 44
IS - 2
SP - 1285-1297
EP - 1285-1297
PB - Wiley
SN - 01704214
KW - linear equations
KW - half-linear equations
KW - oscillation theory
KW - non-oscillation criterion
KW - Riccati equation
KW - Prüfer angle
UR - https://doi.org/10.1002/mma.6828
L2 - https://doi.org/10.1002/mma.6828
N2 - We deal with Euler type half-linear second order differential equations and our intention is to derive conditions in order their non-trivial solutions are non-oscillatory. This paper connects to the article P. Hasil, J. Šišoláková, M. Veselý: Averaging technique and oscillation criterion for linear and half-linear equations, Appl. Math. Lett. 92 (2019), 62-69, where the corresponding oscillatory counterpart is studied and an oscillation criterion is established. The used effective technique for this investigation is the combination of the generalized adapted Prüfer angle and the modified Riccati transformation. This paper is completed by two corollaries and an example concerning the linear case when we obtain new results as well.
ER -
ŠIŠOLÁKOVÁ, Jiřina. Non-oscillation of linear and half-linear differential equations with unbounded coefficients. \textit{Mathematical Methods in the Applied Sciences}. Hoboken: Wiley, 2021, vol.~44, No~2, p.~1285-1297. ISSN~0170-4214. Available from: https://dx.doi.org/10.1002/mma.6828.
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