About: Half-linear discrete oscillation theory     Goto   Sponge   NotDistinct   Permalink

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  • Oscillatory properties of the second order half-linear difference equation $$ \trr(r_k|\trr y_k|^{\alpha-2}\trr y_k)+p_k|y_{k+1}|^{\ad}y_{k+1}=0, $$ where $\alpha>1$, are investigated. A particular attention is devoted to the connection with oscillation theory of its continuous counterpart, half--linear differential equation and also with the theory of linear differential and difference equations. We present not only the overview of the existing results but we also establish new oscillation and nonoscillation criteria.
  • Oscillatory properties of the second order half-linear difference equation $$ \trr(r_k|\trr y_k|^{\alpha-2}\trr y_k)+p_k|y_{k+1}|^{\ad}y_{k+1}=0, $$ where $\alpha>1$, are investigated. A particular attention is devoted to the connection with oscillation theory of its continuous counterpart, half--linear differential equation and also with the theory of linear differential and difference equations. We present not only the overview of the existing results but we also establish new oscillation and nonoscillation criteria. (en)
Title
  • Half-linear discrete oscillation theory
  • Half-linear discrete oscillation theory (en)
skos:prefLabel
  • Half-linear discrete oscillation theory
  • Half-linear discrete oscillation theory (en)
skos:notation
  • RIV/00216224:14410/00:00003507!RIV/2002/GA0/144102/N
http://linked.open.../vavai/riv/strany
  • 1
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  • P(GA201/98/0677), P(GA201/99/0295)
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  • 712217
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  • RIV/00216224:14410/00:00003507
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  • Half-linear discrete oscillation theory (en)
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  • [12E3FEE0B949]
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  • Szeged
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  • Szeged
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  • Proceeding of 6th Colloquium on the qualitative theory of DE, Szeged 1999, EJQTDE, http://www.math.u-szeged.hu/ejqtde/index.html
http://linked.open...in/vavai/riv/obor
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  • Řehák, Pavel
http://linked.open...vavai/riv/typAkce
http://linked.open.../riv/zahajeniAkce
number of pages
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  • Bolyai Institute, Szeged, Hungary
http://localhost/t...ganizacniJednotka
  • 14410
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