| HASIL, Petr, Jakub JURÁNEK a Michal VESELÝ. Non-oscillation of half-linear difference equations with asymptotically periodic coefficients. Online. Acta Mathematica Hungarica. VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECH: SPRINGER, 2019, roč. 159, č. 1, s. 323-348. ISSN 0236-5294. Dostupné z: https://dx.doi.org/10.1007/s10474-019-00940-7. [citováno 2024-04-23] |
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@article{1497520,
author = {Hasil, Petr and Juránek, Jakub and Veselý, Michal},
article_location = {VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECH},
article_number = {1},
doi = {http://dx.doi.org/10.1007/s10474-019-00940-7},
keywords = {Riccati technique; p-Laplacian; half-linear equation; non-oscillation criterion; Riccati equation; oscillation theory; linear differential equation},
language = {eng},
issn = {0236-5294},
journal = {Acta Mathematica Hungarica},
title = {Non-oscillation of half-linear difference equations with asymptotically periodic coefficients},
url = {https://link.springer.com/article/10.1007/s10474-019-00940-7},
volume = {159},
year = {2019}
}
TY - JOUR
ID - 1497520
AU - Hasil, Petr - Juránek, Jakub - Veselý, Michal
PY - 2019
TI - Non-oscillation of half-linear difference equations with asymptotically periodic coefficients
JF - Acta Mathematica Hungarica
VL - 159
IS - 1
SP - 323-348
EP - 323-348
PB - SPRINGER
SN - 02365294
KW - Riccati technique
KW - p-Laplacian
KW - half-linear equation
KW - non-oscillation criterion
KW - Riccati equation
KW - oscillation theory
KW - linear differential equation
UR - https://link.springer.com/article/10.1007/s10474-019-00940-7
L2 - https://link.springer.com/article/10.1007/s10474-019-00940-7
N2 - We study oscillatory properties of half-linear difference equations with asymptotically periodic coefficients, i.e., coefficients which can be expressed as the sums of periodic sequences and sequences vanishing at infinity. Using a special variation of the discrete Riccati technique, we prove that the non-oscillation of the studied equations can be determined directly from their coefficients. Thus, the studied equations can be widely used as testing equations. Our main result is new even for linear equations with periodic coefficients. This fact is illustrated by simple corollaries and examples at the end of this paper.
ER -
HASIL, Petr, Jakub JURÁNEK a Michal VESELÝ. Non-oscillation of half-linear difference equations with asymptotically periodic coefficients. Online. \textit{Acta Mathematica Hungarica}. VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECH: SPRINGER, 2019, roč.~159, č.~1, s.~323-348. ISSN~0236-5294. Dostupné z: https://dx.doi.org/10.1007/s10474-019-00940-7. [citováno 2024-04-23]
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