Regularly varying solutions of second order difference equations with arbitrary sign coefficient
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | Adv. Difference Equ. |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1155/2010/673761 |
| Field | General mathematics |
| Keywords | Regularly varying sequence; linear difference equation; nonoscillatory solution |
| Description | Necessary and sufficient conditions for regular or slow variation of all positive solutions of a second order linear difference equation with arbitrary sign coefficient are established. Relations with the so-called $\M$-classification are also analyzed and a generalization of the results to the half-linear case completes the paper. |
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