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Regularly varying solutions of second-order difference equations with arbitrary sign coefficient
- 1.0351149 - MÚ 2011 RIV US eng J - Journal Article
Matucci, S. - Řehák, Pavel
Regularly varying solutions of second-order difference equations with arbitrary sign coefficient.
Advances in Difference Equations. -, - (2010), s. 673761. ISSN 1687-1847. E-ISSN 1687-1847
Grant - others:GA ČR(CZ) GA201/08/0469; GA ČR(CZ) GAP201/10/1032
Program: GA
Institutional research plan: CEZ:AV0Z10190503
Keywords : second order linear difference equation * regularly varying sequence * Banach fixed point theorem
Subject RIV: BA - General Mathematics
Impact factor: 0.891, year: 2010
http://www.advancesindifferenceequations.com/content/2010/1/673761
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.
Permanent Link: http://hdl.handle.net/11104/0190960
File Download Size Commentary Version Access Rehak2.pdf 1 554.6 KB Publisher’s postprint open-access
Number of the records: 1