Open AccessRegularly Varying Solutions of Second-Order Difference Equations with Arbitrary Sign Coefficient
Author(s) -
Serena Matucci,
P. Řehák
Publication year - 2010
Publication title -
advances in difference equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.67
H-Index - 51
eISSN - 1687-1847
pISSN - 1687-1839
DOI - 10.1155/2010/673761
Subject(s) - mathematics , ordinary differential equation , sign (mathematics) , partial differential equation , mathematical analysis , independent equation , order (exchange) , differential equation , finance , economics
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 Open image in new window -classification are also analyzed and a generalization of the results to the half-linear case completes the paper.
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