Další formáty:
BibTeX
LaTeX
RIS
@article{1804592,
author = {Hasil, Petr and Veselý, Michal},
article_number = {6},
doi = {http://dx.doi.org/10.1007/s00013-021-01649-2},
keywords = {Linear equation; Difference equation; Oscillation criterion; Conditional oscillation; Riccati technique; Riccati equation},
language = {eng},
issn = {0003-889X},
journal = {Archiv der Mathematik},
title = {Riccati technique and oscillation of linear second-order difference equations},
url = {https://doi.org/10.1007/s00013-021-01649-2},
volume = {117},
year = {2021}
}
TY - JOUR
ID - 1804592
AU - Hasil, Petr - Veselý, Michal
PY - 2021
TI - Riccati technique and oscillation of linear second-order difference equations
JF - Archiv der Mathematik
VL - 117
IS - 6
SP - 657-669
EP - 657-669
PB - Springer Nature Switzerland AG
SN - 0003889X
KW - Linear equation
KW - Difference equation
KW - Oscillation criterion
KW - Conditional oscillation
KW - Riccati technique
KW - Riccati equation
UR - https://doi.org/10.1007/s00013-021-01649-2
N2 - In this paper, we analyse oscillatory properties of a general class of linear difference equations. Applying the modified Riccati technique, we prove an oscillation criterion for the studied equations and we formulate its consequences. In contrast to many known criteria, in the presented results, there are not considered any auxiliary sequences. The results are based directly on the coefficients of the treated equations, i.e., the obtained results are easy to use. In addition, recently, we have proved a non-oscillatory counterpart of the presented criterion. The combination implies that the studied equations are conditionally oscillatory.
ER -
HASIL, Petr a Michal VESELÝ. Riccati technique and oscillation of linear second-order difference equations. \textit{Archiv der Mathematik}. Springer Nature Switzerland AG, 2021, roč.~117, č.~6, s.~657-669. ISSN~0003-889X. Dostupné z: https://dx.doi.org/10.1007/s00013-021-01649-2.
|
