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@article{1483781,
author = {Hasil, Petr and Veselý, Michal},
article_location = {Hoboken},
article_number = {6},
doi = {http://dx.doi.org/10.1002/mma.5485},
keywords = {dynamic equation; half-linear equation; linear equation; oscillation criterion; oscillation theory; Riccati technique; timescale},
language = {eng},
issn = {0170-4214},
journal = {Mathematical Methods in the Applied Sciences},
title = {Oscillation result for half-linear dynamic equations on timescales and its consequences},
url = {https://onlinelibrary.wiley.com/doi/full/10.1002/mma.5485},
volume = {42},
year = {2019}
}
TY - JOUR
ID - 1483781
AU - Hasil, Petr - Veselý, Michal
PY - 2019
TI - Oscillation result for half-linear dynamic equations on timescales and its consequences
JF - Mathematical Methods in the Applied Sciences
VL - 42
IS - 6
SP - 1921-1940
EP - 1921-1940
PB - Wiley
SN - 01704214
KW - dynamic equation
KW - half-linear equation
KW - linear equation
KW - oscillation criterion
KW - oscillation theory
KW - Riccati technique
KW - timescale
UR - https://onlinelibrary.wiley.com/doi/full/10.1002/mma.5485
L2 - https://onlinelibrary.wiley.com/doi/full/10.1002/mma.5485
N2 - We study oscillatory properties of half-linear dynamic equations on timescales. Via the combination of the Riccati technique and an averaging method, we find the domain of oscillation for many equations. The presented main result is not the conversion of a known result from the theory of differential or difference equations, i.e., we obtain new results for the timescales T = R (for differential equations) and T = Z (for difference equations). Half-linear equations generalize linear equations (in fact, they coincide with certain one-dimensional PDEs with p-Laplacian), but the main result is new also for linear differential and difference equations. The corresponding corollaries and examples are given as well.
ER -
HASIL, Petr and Michal VESELÝ. Oscillation result for half-linear dynamic equations on timescales and its consequences. \textit{Mathematical Methods in the Applied Sciences}. Hoboken: Wiley, 2019, vol.~42, No~6, p.~1921-1940. ISSN~0170-4214. Available from: https://dx.doi.org/10.1002/mma.5485.
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