Hartman-Wintner type lemma, oscillation, and conjugacy criteria for half-linear difference equations

0359570 - MÚ 2012 US eng J - Článek v odborném periodiku
Řehák, Pavel
Hartman-Wintner type lemma, oscillation, and conjugacy criteria for half-linear difference equations.
Journal of Mathematical Analysis and Applications. Roč. 252, č. 2 (2000), s. 813-827. ISSN 0022-247X. E-ISSN 1096-0813
Grant CEP: GA ČR GA201/99/0295
Výzkumný záměr: CEZ:AV0Z1019905
Klíčová slova: half-linear difference equation * Riccati technique * Hartman-Wintner lemma * discrete oscillation
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.431, rok: 2000

We discuss oscillatory properties of the second order half-linear difference equation Delta (r(k)/Deltay(k)/(alpha -2)Deltay(k)) + p(k)/y(k+1)/(alpha -2)y(k+1) = 0, where alpha > 1. In particular, we establish the discrete half-linear extension of the Hartman-Wintner lemma and oscillatory and conjugacy criteria as an application of this lemma. The proofs of all these results and also of most of the other statements in this paper are based on the Riccati technique. (C) 2000 Academic Press.
Trvalý link: http://hdl.handle.net/11104/0197336