Conditional oscillation of Euler type half-linear differential equations with unbounded coefficients
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Studia Scientiarum Mathematicarum Hungarica |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.akademiai.com/doi/abs/10.1556/012.2015.1323 |
| Doi | http://dx.doi.org/10.1556/012.2015.1323 |
| Field | General mathematics |
| Keywords | half-linear equations; oscillation theory; conditional oscillation; Prüfer angle; oscillation constant |
| Description | The oscillatory properties of half-linear second order Euler type differential equations are studied, where the coefficients of the considered equations can be unbounded. For these equations, we prove an oscillation criterion and a non-oscillation one. We also mention a corollary which shows how our criteria improve the known results. In the corollary, the criteria give an explicit oscillation constant. |
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