| FUJIMOTO, Kodai, Petr HASIL and Michal VESELÝ. Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations. Bulletin of the Malaysian Mathematical Sciences Society. Springer, 2024, vol. 47, No 5, p. 1-19. ISSN 0126-6705. Available from: https://dx.doi.org/10.1007/s40840-024-01745-w. |
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@article{2421877,
author = {Fujimoto, Kodai and Hasil, Petr and Veselý, Michal},
article_number = {5},
doi = {http://dx.doi.org/10.1007/s40840-024-01745-w},
keywords = {Half-linear equation; Difference equation; Non-oscillation; Oscillation theory; Riccati equation},
language = {eng},
issn = {0126-6705},
journal = {Bulletin of the Malaysian Mathematical Sciences Society},
title = {Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations},
url = {https://link.springer.com/article/10.1007/s40840-024-01745-w},
volume = {47},
year = {2024}
}
TY - JOUR
ID - 2421877
AU - Fujimoto, Kodai - Hasil, Petr - Veselý, Michal
PY - 2024
TI - Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations
JF - Bulletin of the Malaysian Mathematical Sciences Society
VL - 47
IS - 5
SP - 1-19
EP - 1-19
PB - Springer
SN - 01266705
KW - Half-linear equation
KW - Difference equation
KW - Non-oscillation
KW - Oscillation theory
KW - Riccati equation
UR - https://link.springer.com/article/10.1007/s40840-024-01745-w
N2 - In this paper, we study a general class of half-linear difference equations. Applying a version of the discrete Riccati transformation, we prove a non-oscillation criterion for the analyzed equations. In the formulation of the criterion, we do not use auxiliary sequences, but we consider directly the coefficients of the treated equations. Since the obtained criterion is new in many cases, we also formulate new simple corollaries and mention illustrative examples.
ER -
FUJIMOTO, Kodai, Petr HASIL and Michal VESELÝ. Riccati Transformation and Non-Oscillation Criterion for Half-Linear Difference Equations. \textit{Bulletin of the Malaysian Mathematical Sciences Society}. Springer, 2024, vol.~47, No~5, p.~1-19. ISSN~0126-6705. Available from: https://dx.doi.org/10.1007/s40840-024-01745-w.
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