Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory

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Authors

HASIL Petr VESELÝ Michal

Year of publication 2021
Type Article in Periodical
Magazine / Source Applied Mathematics Letters
MU Faculty or unit

Faculty of Science

Citation
Web https://www.sciencedirect.com/science/article/pii/S0893965921000586
Doi http://dx.doi.org/10.1016/j.aml.2021.107118
Keywords Riccati technique; Riccati equation; Half-linear equation; Oscillation theory; Oscillation criterion
Description 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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