Two-term perturbations in half-linear oscillation theory
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Proceedings |
| Conference | Differential and Difference Equations with Applications |
| MU Faculty or unit | |
| Citation | |
| Web | http://link.springer.com/chapter/10.1007/978-1-4614-7333-6_1 |
| Doi | http://dx.doi.org/10.1007/978-1-4614-7333-6_1 |
| Field | General mathematics |
| Keywords | Half-linear differential equation; oscillation and nonoscillation criteria; Riccati technique; perturbation principle; linearization method |
| Description | We consider the nonoscillatory half-linear differential equation and we study influence of the perturbations both in the absolute term and differential term on oscillatory properties of the perturbed equation. We prove new oscillation criteria which can be applied in situations where previously obtained criteria fail. |
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