| HASIL, Petr, Michal POSPÍŠIL, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Oscillation criterion for linear equations with coefficients containing powers of natural logarithm. Monatshefte für Mathematik. Wien: Springer-Verlag, 2024, vol. 203, No 1, p. 91-109. ISSN 0026-9255. Available from: https://dx.doi.org/10.1007/s00605-023-01910-6. |
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@article{2368107,
author = {Hasil, Petr and Pospíšil, Michal and Šišoláková, Jiřina and Veselý, Michal},
article_location = {Wien},
article_number = {1},
doi = {http://dx.doi.org/10.1007/s00605-023-01910-6},
keywords = {Linear differential equation; Oscillation; Averaging technique; Prüfer angle; Logarithm},
language = {eng},
issn = {0026-9255},
journal = {Monatshefte für Mathematik},
title = {Oscillation criterion for linear equations with coefficients containing powers of natural logarithm},
url = {https://link.springer.com/article/10.1007/s00605-023-01910-6},
volume = {203},
year = {2024}
}
TY - JOUR
ID - 2368107
AU - Hasil, Petr - Pospíšil, Michal - Šišoláková, Jiřina - Veselý, Michal
PY - 2024
TI - Oscillation criterion for linear equations with coefficients containing powers of natural logarithm
JF - Monatshefte für Mathematik
VL - 203
IS - 1
SP - 91-109
EP - 91-109
PB - Springer-Verlag
SN - 00269255
KW - Linear differential equation
KW - Oscillation
KW - Averaging technique
KW - Prüfer angle
KW - Logarithm
UR - https://link.springer.com/article/10.1007/s00605-023-01910-6
N2 - Applying an averaging technique for the adapted Prüfer angle, we obtain an oscillation criterion for linear second order differential equations whose coefficients consist of products of powers of natural logarithm and general (bounded or unbounded) continuous functions. The presented criterion is illustrated by new corollaries and examples. The novelty is caused by the used averaging technique over unbounded intervals.
ER -
HASIL, Petr, Michal POSPÍŠIL, Jiřina ŠIŠOLÁKOVÁ and Michal VESELÝ. Oscillation criterion for linear equations with coefficients containing powers of natural logarithm. \textit{Monatshefte für Mathematik}. Wien: Springer-Verlag, 2024, vol.~203, No~1, p.~91-109. ISSN~0026-9255. Available from: https://dx.doi.org/10.1007/s00605-023-01910-6.
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