Nonoscillation criteria and energy functional for even-order half-linear two-term differential equations
| Authors | |
|---|---|
| Year of publication | 2016 |
| Type | Article in Periodical |
| Magazine / Source | Electron. J. Diff. Equations |
| MU Faculty or unit | |
| Citation | |
| Web | http://ejde.math.txstate.edu/ |
| Field | General mathematics |
| Keywords | even-order half-linear differential equation; energy functional; nonoscillation; Wirtinger inequality |
| Description | We investigate oscillatory properties of even-order half-linear differential equations and conditions for negativity of the associated energy functional. First, using the relationship between positivity of the functional and nonoscillation of the investigated equation, we prove Hille-Nehari type nonoscillation criteria which extend criteria known in the linear case. In the second part of the paper, we present conditions which guarantee that the energy functional attains a negative value, i.e., it is unbounded below. |
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