Some basic properties of regularly varying sequences are presented here and applied to the study of the asymptotic behavior of decreasing solutions of half-linear difference equations. Relations with the classification of nonoscillatory solutions and with the notion of recessive solutions are also discussed.
Regularly varying sequences and second order difference equations / S. MATUCCI; P. REHAK. - In: JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. - ISSN 1023-6198. - STAMPA. - 14 (1):(2008), pp. 17-30. [10.1080/10236190701466728]
Regularly varying sequences and second order difference equations
MATUCCI, SERENA;
2008
Abstract
Some basic properties of regularly varying sequences are presented here and applied to the study of the asymptotic behavior of decreasing solutions of half-linear difference equations. Relations with the classification of nonoscillatory solutions and with the notion of recessive solutions are also discussed.
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