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Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory
Autoři | |
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Rok publikování | 2021 |
Druh | Článek v odborném periodiku |
Časopis / Zdroj | Applied Mathematics Letters |
Fakulta / Pracoviště MU | |
Citace | |
www | https://www.sciencedirect.com/science/article/pii/S0893965921000586 |
Doi | http://dx.doi.org/10.1016/j.aml.2021.107118 |
Klíčová slova | Riccati technique; Riccati equation; Half-linear equation; Oscillation theory; Oscillation criterion |
Popis | 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. |
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