HASIL, Petr a Michal VESELÝ. Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory. Applied Mathematics Letters. Elsevier Ltd., 2021, roč. 117, July, s. "107118", 7 s. ISSN 0893-9659. Dostupné z: https://dx.doi.org/10.1016/j.aml.2021.107118. |
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@article{1762220, author = {Hasil, Petr and Veselý, Michal}, article_number = {July}, doi = {http://dx.doi.org/10.1016/j.aml.2021.107118}, keywords = {Riccati technique; Riccati equation; Half-linear equation; Oscillation theory; Oscillation criterion}, language = {eng}, issn = {0893-9659}, journal = {Applied Mathematics Letters}, title = {Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory}, url = {https://www.sciencedirect.com/science/article/pii/S0893965921000586}, volume = {117}, year = {2021} }
TY - JOUR ID - 1762220 AU - Hasil, Petr - Veselý, Michal PY - 2021 TI - Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory JF - Applied Mathematics Letters VL - 117 IS - July SP - "107118" EP - "107118" PB - Elsevier Ltd. SN - 08939659 KW - Riccati technique KW - Riccati equation KW - Half-linear equation KW - Oscillation theory KW - Oscillation criterion UR - https://www.sciencedirect.com/science/article/pii/S0893965921000586 N2 - We present a new version of the adapted generalized Riccati transformation. This transformation leads to the Riccati equation for which we identify a simple condition guaranteeing the local positivity of its solutions. Using the condition, we obtain a new oscillation criterion for half-linear equations. ER -
HASIL, Petr a Michal VESELÝ. Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory. \textit{Applied Mathematics Letters}. Elsevier Ltd., 2021, roč.~117, July, s.~''107118'', 7 s. ISSN~0893-9659. Dostupné z: https://dx.doi.org/10.1016/j.aml.2021.107118.
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