Positivity of solutions of adapted generalized Riccati equation with consequences in oscillation theory
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Applied Mathematics Letters |
| MU Faculty or unit | |
| 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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