Oscillatory solutions of Emden-Fowler type differential equation
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Qualitative Theory of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| web | https://doi.org/10.14232/ejqtde.2021.1.54 |
| Doi | https://doi.org/10.14232/ejqtde.2021.1.54 |
| Keywords | second order nonlinear differential equation; oscillatory solution; globally positive solution; intermediate solutions |
| Description | The paper deals with the coexistence between the oscillatory dynamics and the nonoscillatory one for a generalized super-linear Emden-Fowler differential equation. In particular, the coexistence of infinitely many oscillatory solutions with unbounded positive solutions are proved. The asymptotics of the unbounded positive solutions are described as well. |
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