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	https://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.
Related projects:	Oscillatory and asymptotic properties of solutions of differential equations Diferenční rovnice a dynamické rovnice na time scales III