Regular and extremal solutions for difference equations with generalized phi-Laplacian
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | J. Difference Equ. Appl. |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.tandfonline.com/doi/abs/10.1080/10236198.2010.515589 |
| Doi | http://dx.doi.org/10.1080/10236198.2010.515589 |
| Field | General mathematics |
| Keywords | Second-order nonlinear difference equation; generalized phi-Laplacian; regular solution; extremal solution; asymptotic behaviour |
| Description | Non-oscillatory solutions for second-order difference equations with generalized phi-Laplacian are studied. Solutions are classified according to the asymptotic behaviour as regular or extremal solutions. Their existence and possible coexistence are investigated as well. In particular, the existence of infinitely many extremal solutions for equations with the discrete mean curvature operator is proved by means of an iterative method. This paper is completed by examples and some open problems. |
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