Oscillation of linear and half-linear differential equations via generalized Riccati technique
| Autoři | |
|---|---|
| Rok publikování | 2022 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Revista Matemática Complutense |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://link.springer.com/article/10.1007/s13163-021-00407 |
| Doi | http://dx.doi.org/10.1007/s13163-021-00407-w |
| Klíčová slova | Half-linear equation; Linear equation; Riccati equation; Oscillation; Riccati technique |
| Popis | In this paper, we analyse the oscillation of second-order half-linear differential equations whose coefficients are given by the products of (typically bounded) functions and power functions. Applying the generalized Riccati technique, we find a very general oscillation criterion for the studied equations. This criterion covers several half-linear equations with unbounded non-power parts of coefficients, but it is new also for linear equations with bounded non-power parts. This fact is appropriately documented by new corollaries. |
| Související projekty: |