Publication details
Monotonicity conditions in oscillation to superlinear differential equations
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Qualitative Theory of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.math.u-szeged.hu/ejqtde/index.html |
| Doi | http://dx.doi.org/10.14232/ejqtde.2016.1.54 |
| Field | General mathematics |
| Keywords | second order nonlinear differential equation; nonoscillatory solution; oscillatory solution; intermediate solution |
| Description | We consider the second order quasi-linear differential equation in the super-linear case. We prove the existence of the so-called intermediate solutions and we discuss their coexistence with other types of nonoscillatory and oscillatory solutions. Our results are new even for the Emden-Fowler equation. |