Oscillatory solutions of nonlinear fourth order differential equations with a middle term
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Qualitative Theory of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | Fourth order nonlinear differential equation; oscillatory solution; oscillation |
| Attached files | |
| Description | We study oscillation of a fourth order nonlinear differential equation with a middle term. Using a certain energy function, we describe the properties of oscillatory solutions. The paper extends oscillation criteria stated for equations with the operator x^{(4)} + x'' and completes the results stated for super-linear and sub-linear case. Oscillation results are new also for the linear equation. |
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