Second order linear q-difference equations: nonoscillation and asymptotics

0368875 - MÚ 2012 RIV CZ eng J - Journal Article
Řehák, Pavel
Second order linear q-difference equations: nonoscillation and asymptotics.
Czechoslovak Mathematical Journal. Roč. 61, č. 4 (2011), s. 1107-1134. ISSN 0011-4642. E-ISSN 1572-9141
Institutional research plan: CEZ:AV0Z10190503
Keywords : regularly varying functions * q-difference equations * asymptotic behavior * oscillation
Subject RIV: BA - General Mathematics
Impact factor: 0.262, year: 2011
http://www.springerlink.com/content/50u237148613432g/

The paper can be undestood as a completion of the q-Karamata theory along with a related discussion on the asymptotic behavior of solutions to the linear q-difference equations. The q-Karamata theory was recently introduced as the theory of regularly varying like functions on the lattice qNo:={qk:k N0] with q>1. In addition to recalling the existing concepts of q-regular variation and q-rapid variation we introduce q-regularly bounded functions and prove many related properties.
Permanent Link: http://hdl.handle.net/11104/0203093