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@article{2383758,
author = {Hasil, Petr and Veselý, Michal},
article_number = {6},
doi = {http://dx.doi.org/10.1002/mma.9814},
keywords = {difference equations; Euler type; half-linear equations; linear equations; oscillation; Riccati technique},
language = {eng},
issn = {0170-4214},
journal = {Mathematical Methods in the Applied Sciences},
title = {Oscillation criterion for Euler type half-linear difference equations},
url = {https://onlinelibrary.wiley.com/doi/10.1002/mma.9814},
volume = {47},
year = {2024}
}
TY - JOUR
ID - 2383758
AU - Hasil, Petr - Veselý, Michal
PY - 2024
TI - Oscillation criterion for Euler type half-linear difference equations
JF - Mathematical Methods in the Applied Sciences
VL - 47
IS - 6
SP - 4283-4305
EP - 4283-4305
PB - Wiley
SN - 01704214
KW - difference equations
KW - Euler type
KW - half-linear equations
KW - linear equations
KW - oscillation
KW - Riccati technique
UR - https://onlinelibrary.wiley.com/doi/10.1002/mma.9814
N2 - We consider general classes of Euler type linear and half-linear difference equations, which are conditionally oscillatory. Applying the adapted Riccati technique, we improve known oscillation criteria for these equations. More precisely, our presented main criterion is the full oscillatory counterpart of a non-oscillation criterion. Thus, in this paper, we enlarge the set of conditionally oscillatory Euler type difference equations. We highlight that our results are new even for linear equations with periodic coefficients. This fact is documented by simple examples of such equations at the end of this paper.
ER -
HASIL, Petr and Michal VESELÝ. Oscillation criterion for Euler type half-linear difference equations. \textit{Mathematical Methods in the Applied Sciences}. Wiley, 2024, vol.~47, No~6, p.~4283-4305. ISSN~0170-4214. Available from: https://dx.doi.org/10.1002/mma.9814.
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