Regularly varying solutions of second order difference equations with arbitrary sign coefficient

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Authors

ŘEHÁK Pavel MATUCCI Serena

Year of publication 2010
Type Article in Periodical
Magazine / Source Adv. Difference Equ.
MU Faculty or unit

Faculty of Education

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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