| FUJIMOTO, Kodai, Petr HASIL a Michal VESELÝ. Riccati transformation and non-oscillation criterion for linear difference equations. Proceedings of the American Mathematical Society. Providence: American Mathematical Society, 2020, roč. 148, č. 10, s. 4319-4332. ISSN 0002-9939. Dostupné z: https://dx.doi.org/10.1090/proc/15072. |
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@article{1627356,
author = {Fujimoto, Kodai and Hasil, Petr and Veselý, Michal},
article_location = {Providence},
article_number = {10},
doi = {http://dx.doi.org/10.1090/proc/15072},
keywords = {linear equations; difference equations; Riccati method; non-oscillation; oscillation theory},
language = {eng},
issn = {0002-9939},
journal = {Proceedings of the American Mathematical Society},
title = {Riccati transformation and non-oscillation criterion for linear difference equations},
url = {https://doi.org/10.1090/proc/15072},
volume = {148},
year = {2020}
}
TY - JOUR
ID - 1627356
AU - Fujimoto, Kodai - Hasil, Petr - Veselý, Michal
PY - 2020
TI - Riccati transformation and non-oscillation criterion for linear difference equations
JF - Proceedings of the American Mathematical Society
VL - 148
IS - 10
SP - 4319-4332
EP - 4319-4332
PB - American Mathematical Society
SN - 00029939
KW - linear equations
KW - difference equations
KW - Riccati method
KW - non-oscillation
KW - oscillation theory
UR - https://doi.org/10.1090/proc/15072
L2 - https://doi.org/10.1090/proc/15072
N2 - We consider a general class of linear difference equations. Using a variation of the discrete Riccati method, we obtain a straightforward non-oscillation criterion for the treated equations. In contrast to a number of known criteria, we do not need to consider any auxiliary sequences. We use the coefficients of the treated equations directly. To illustrate the novelty and the usage of the presented criterion, we provide corollaries and examples.
ER -
FUJIMOTO, Kodai, Petr HASIL a Michal VESELÝ. Riccati transformation and non-oscillation criterion for linear difference equations. \textit{Proceedings of the American Mathematical Society}. Providence: American Mathematical Society, 2020, roč.~148, č.~10, s.~4319-4332. ISSN~0002-9939. Dostupné z: https://dx.doi.org/10.1090/proc/15072.
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