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  • 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.
  • 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. (en)
Title
  • Second order linear q-difference equations: nonoscillation and asymptotics
  • Second order linear q-difference equations: nonoscillation and asymptotics (en)
skos:prefLabel
  • Second order linear q-difference equations: nonoscillation and asymptotics
  • Second order linear q-difference equations: nonoscillation and asymptotics (en)
skos:notation
  • RIV/67985840:_____/11:00368875!RIV12-AV0-67985840
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  • P(GAP201/10/1032), Z(AV0Z10190503)
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  • 4
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  • 228511
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  • RIV/67985840:_____/11:00368875
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  • regularly varying functions; q-difference equations; asymptotic behavior; oscillation (en)
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  • CZ - Česká republika
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  • [BFE1986B7F9E]
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  • Czechoslovak Mathematical Journal
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  • 61
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  • Řehák, Pavel
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  • 000299705600019
http://linked.open...n/vavai/riv/zamer
issn
  • 0011-4642
number of pages
http://bibframe.org/vocab/doi
  • 10.1007/s10587-011-0051-9
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