Oscillation of linear and half-linear differential equations via generalized Riccati technique
| Authors | |
|---|---|
| Year of publication | 2022 |
| Type | Article in Periodical |
| Magazine / Source | Revista Matemática Complutense |
| MU Faculty or unit | |
| Citation | |
| Web | https://link.springer.com/article/10.1007/s13163-021-00407 |
| Doi | http://dx.doi.org/10.1007/s13163-021-00407-w |
| Keywords | Half-linear equation; Linear equation; Riccati equation; Oscillation; Riccati technique |
| Description | 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. |
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