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
Regularly varying solutions of second order difference equations with arbitrary sign coefficient / S. Matucci; P. Réhâk. - In: ADVANCES IN DIFFERENCE EQUATIONS. - ISSN 1687-1839. - ELETTRONICO. - 2010 Article ID 673761:(2010), pp. 1-16. [10.1155/2010/673761]
Regularly varying solutions of second order difference equations with arbitrary sign coefficient
MATUCCI, SERENA;
2010
Abstract
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
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
30-ADE.pdf
accesso aperto
Tipologia:
Versione finale referata (Postprint, Accepted manuscript)
Licenza:
Open Access
Dimensione
574.09 kB
Formato
Adobe PDF
|
574.09 kB | Adobe PDF |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
