Počet záznamů: 1

Second order linear q-difference equations: nonoscillation and asymptotics

  1. 1.
    0368875 - MU-W 2012 RIV CZ eng J - Článek v odborném periodiku
    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
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: regularly varying functions * q-difference equations * asymptotic behavior * oscillation
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.262, rok: 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.
    Trvalý link: http://hdl.handle.net/11104/0203093
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