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  • We investigate oscillatory properties of half-linear differential equations. The investigated half-linear equation is viewed as a perturbation of another (nonoscillatory) equation of the same form and perturbation is allowed both in the absolute term and in the derivative term. First, the Sturmian type theorem for solutions of the associated Riccati equation is established. In the second part of the paper we prove new half-linear oscillation criteria using the variational technique
  • We investigate oscillatory properties of half-linear differential equations. The investigated half-linear equation is viewed as a perturbation of another (nonoscillatory) equation of the same form and perturbation is allowed both in the absolute term and in the derivative term. First, the Sturmian type theorem for solutions of the associated Riccati equation is established. In the second part of the paper we prove new half-linear oscillation criteria using the variational technique (en)
Title
  • Variational technique and principal solution in half-linear oscillation criteria
  • Variational technique and principal solution in half-linear oscillation criteria (en)
skos:prefLabel
  • Variational technique and principal solution in half-linear oscillation criteria
  • Variational technique and principal solution in half-linear oscillation criteria (en)
skos:notation
  • RIV/00216224:14310/11:00049695!RIV12-GA0-14310___
http://linked.open...avai/predkladatel
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/08/0469), P(GAP201/10/1032), V, Z(MSM0021622409)
http://linked.open...iv/cisloPeriodika
  • 12
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
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http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 237972
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14310/11:00049695
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Half-linear differential equation; variational technique; principal solution; oscillation criteria (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [1238C7C47130]
http://linked.open...i/riv/nazevZdroje
  • Appl. Math. Comput.
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 217
http://linked.open...iv/tvurceVysledku
  • Došlý, Ondřej
  • Fišnarová, Simona
http://linked.open...n/vavai/riv/zamer
issn
  • 0096-3003
number of pages
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  • 14310
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