| HASIL, Petr and Michal VESELÝ. Oscillation of linear and half-linear differential equations via generalized Riccati technique. Revista Matemática Complutense. Springer-Verlag Italia s.r.l., 2022, vol. 35, No 3, p. 835-849. ISSN 1139-1138. Available from: https://dx.doi.org/10.1007/s13163-021-00407-w. |
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@article{1839917,
author = {Hasil, Petr and Veselý, Michal},
article_number = {3},
doi = {http://dx.doi.org/10.1007/s13163-021-00407-w},
keywords = {Half-linear equation; Linear equation; Riccati equation; Oscillation; Riccati technique},
language = {eng},
issn = {1139-1138},
journal = {Revista Matemática Complutense},
title = {Oscillation of linear and half-linear differential equations via generalized Riccati technique},
url = {https://link.springer.com/article/10.1007/s13163-021-00407},
volume = {35},
year = {2022}
}
TY - JOUR
ID - 1839917
AU - Hasil, Petr - Veselý, Michal
PY - 2022
TI - Oscillation of linear and half-linear differential equations via generalized Riccati technique
JF - Revista Matemática Complutense
VL - 35
IS - 3
SP - 835-849
EP - 835-849
PB - Springer-Verlag Italia s.r.l.
SN - 11391138
KW - Half-linear equation
KW - Linear equation
KW - Riccati equation
KW - Oscillation
KW - Riccati technique
UR - https://link.springer.com/article/10.1007/s13163-021-00407
N2 - In this paper, we analyse the oscillation of second-order half-linear differential equations whose coefficients are given by the products of (typically bounded) functions and power functions. Applying the generalized Riccati technique, we find a very general oscillation criterion for the studied equations. This criterion covers several half-linear equations with unbounded non-power parts of coefficients, but it is new also for linear equations with bounded non-power parts. This fact is appropriately documented by new corollaries.
ER -
HASIL, Petr and Michal VESELÝ. Oscillation of linear and half-linear differential equations via generalized Riccati technique. \textit{Revista Matemática Complutense}. Springer-Verlag Italia s.r.l., 2022, vol.~35, No~3, p.~835-849. ISSN~1139-1138. Available from: https://dx.doi.org/10.1007/s13163-021-00407-w.
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