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@article{1484480,
author = {Hasil, Petr and Šišoláková, Jiřina and Veselý, Michal},
article_location = {Oxford},
article_number = {2019},
doi = {http://dx.doi.org/10.1016/j.aml.2019.01.013},
keywords = {Half-linear equations; Linear differential equations; Averaging technique; Prüfer angle; Oscillation criterion},
language = {eng},
issn = {0893-9659},
journal = {Applied Mathematics Letters},
title = {Averaging technique and oscillation criterion for linear and half-linear equations},
url = {https://www.sciencedirect.com/science/article/pii/S089396591930014X},
volume = {92},
year = {2019}
}
TY - JOUR
ID - 1484480
AU - Hasil, Petr - Šišoláková, Jiřina - Veselý, Michal
PY - 2019
TI - Averaging technique and oscillation criterion for linear and half-linear equations
JF - Applied Mathematics Letters
VL - 92
IS - 2019
SP - 62-69
EP - 62-69
PB - PERGAMON-ELSEVIER SCIENCE LTD
SN - 08939659
KW - Half-linear equations
KW - Linear differential equations
KW - Averaging technique
KW - Prüfer angle
KW - Oscillation criterion
UR - https://www.sciencedirect.com/science/article/pii/S089396591930014X
L2 - https://www.sciencedirect.com/science/article/pii/S089396591930014X
N2 - Using a general averaging technique for the generalized adapted Prüfer angle, we prove an oscillation criterion concerning half-linear second order differential equations, where the coefficients r and s are continuous functions. We find simple conditions on r, s which imply that the considered equations are oscillatory. The obtained result is new even in the linear case.
ER -
HASIL, Petr, Jiřina ŠIŠOLÁKOVÁ a Michal VESELÝ. Averaging technique and oscillation criterion for linear and half-linear equations. \textit{Applied Mathematics Letters}. Oxford: PERGAMON-ELSEVIER SCIENCE LTD, roč.~92, č.~2019, s.~62-69. ISSN~0893-9659. doi:10.1016/j.aml.2019.01.013. 2019.
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