Minimal and maximal solutions of fourth-order nonlinear difference equations
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Difference Equations and Applications |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.tandfonline.com/doi/abs/10.1080/10236198.2014.999673#.VdR2o9dLtOo |
| Doi | http://dx.doi.org/10.1080/10236198.2014.999673 |
| Field | General mathematics |
| Keywords | Fourth-order nonlinear difference equations; positive solution; asymptotic behaviour; existence of minimal solution; existence of maximal solution |
| Description | Positive solutions of fourth-order nonlinear difference equations with a deviating argument are investigated. We present a classification of nonoscillatory solutions which is based on their asymptotic behaviour and we give necessary and sufficient conditions for the existence of the so-called minimal and maximal solutions. |
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