Regularly varying solutions of second order difference equations with arbitrary sign coefficient
| Autoři | |
|---|---|
| Rok publikování | 2010 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Adv. Difference Equ. |
| Fakulta / Pracoviště MU | |
| Citace | |
| Doi | http://dx.doi.org/10.1155/2010/673761 |
| Obor | Obecná matematika |
| Klíčová slova | Regularly varying sequence; linear difference equation; nonoscillatory solution |
| Popis | 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. |
| Související projekty: |