Averaging technique and oscillation criterion for linear and half-linear equations
| Authors | |
|---|---|
| Year of publication | 2019 |
| Type | Article in Periodical |
| Magazine / Source | Applied Mathematics Letters |
| MU Faculty or unit | |
| Citation | |
| Web | Full Text |
| Doi | http://dx.doi.org/10.1016/j.aml.2019.01.013 |
| Keywords | Half-linear equations; Linear differential equations; Averaging technique; Prüfer angle; Oscillation criterion |
| Description | Using a general averaging technique for the generalized adapted Prüfer angle, we prove an oscillation criterion concerning half-linear second order differential equations, where the coefficients r and s are continuous functions. We find simple conditions on r, s which imply that the considered equations are oscillatory. The obtained result is new even in the linear case. |
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