Oscillation constants for second-order ordinary differential equations related to elliptic equations with p-Laplacian
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Nonlinear Analysis |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.sciencedirect.com/science/article/pii/S0362546X14003150 |
| Doi | http://dx.doi.org/10.1016/j.na.2014.09.025 |
| Field | General mathematics |
| Keywords | Oscillation; Half-linear differential equations; Oscillation constant; Riccati technique; Phase plane analysis; Time maps; p-Laplacian |
| Attached files | |
| Description | In this paper we consider the second-order nonlinear differential equation equation with sign preserving nonlinearity. We analyze the difference between the values of a certain parameter appearing in he investihated differential equation. In each case we give a condition on the function ff which guarantees that solutions the investigated equation are (non)oscillatory. The principal methods used in this paper are the Riccati technique and its modifications. The results of our paper complement and extend several previously obtained results on the subject. |
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