| HASIL, Petr and Michal VESELÝ. Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory. Applied Mathematics Letters. Elsevier Ltd., 2021, vol. 117, July, p. "107118", 7 pp. ISSN 0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2021.107118. |
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@article{1762220,
author = {Hasil, Petr and Veselý, Michal},
article_number = {July},
doi = {http://dx.doi.org/10.1016/j.aml.2021.107118},
keywords = {Riccati technique; Riccati equation; Half-linear equation; Oscillation theory; Oscillation criterion},
language = {eng},
issn = {0893-9659},
journal = {Applied Mathematics Letters},
title = {Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory},
url = {https://www.sciencedirect.com/science/article/pii/S0893965921000586},
volume = {117},
year = {2021}
}
TY - JOUR
ID - 1762220
AU - Hasil, Petr - Veselý, Michal
PY - 2021
TI - Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory
JF - Applied Mathematics Letters
VL - 117
IS - July
SP - "107118"
EP - "107118"
PB - Elsevier Ltd.
SN - 08939659
KW - Riccati technique
KW - Riccati equation
KW - Half-linear equation
KW - Oscillation theory
KW - Oscillation criterion
UR - https://www.sciencedirect.com/science/article/pii/S0893965921000586
N2 - We present a new version of the adapted generalized Riccati transformation. This transformation leads to the Riccati equation for which we identify a simple condition guaranteeing the local positivity of its solutions. Using the condition, we obtain a new oscillation criterion for half-linear equations.
ER -
HASIL, Petr and Michal VESELÝ. Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory. \textit{Applied Mathematics Letters}. Elsevier Ltd., 2021, vol.~117, July, p.~''107118'', 7 pp. ISSN~0893-9659. Available from: https://dx.doi.org/10.1016/j.aml.2021.107118.
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