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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