Oscillation of a class of differential equations with generalized phi-Laplacian
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Proc. Roy. Soc. Edinburgh |
| MU Faculty or unit | |
| Citation | |
| Web | http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=8924889 |
| Doi | http://dx.doi.org/10.1017/S0308210511001156 |
| Field | General mathematics |
| Keywords | Oscillation; Phi-Laplacian; integral oscillation conditions |
| Description | Oscillation of a certain nonlinear differential equation involving the so called Phi-Laplacian - an increasing odd homeomorphism, is considered. We extend previous results, stated for equations with the classical p-Laplacian, by obtaining necessary and sufficient conditions of integral type for the oscillation. The role of the boundedness of Im Phi [Dom Phi] is analysed in detail. Our results includes the case Phi*(Phi) linear near zero or near infinity, where Phi* is the inverse of Phi. Several examples, concerning the curvature or relativity operator, illustrate our results. |
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