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Description
  • We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framework of the existing results and we show when this new integral characterization with a parameter $\alpha$ is equivalent with two extremal cases of the integral characterization used in the literature. We illustrate our results on the Euler and Riemann-Weber differential equations.
  • We discuss a new integral characterization of principal solutions for half-linear differential equations, introduced in the recent paper of S. Fisnarova and R. Marik, Nonlinear Anal. 74 (2011), 6427-6433. We study this characterization in the framework of the existing results and we show when this new integral characterization with a parameter $\alpha$ is equivalent with two extremal cases of the integral characterization used in the literature. We illustrate our results on the Euler and Riemann-Weber differential equations. (en)
Title
  • On the integral characterization of principal solutions for half-linear ODE
  • On the integral characterization of principal solutions for half-linear ODE (en)
skos:prefLabel
  • On the integral characterization of principal solutions for half-linear ODE
  • On the integral characterization of principal solutions for half-linear ODE (en)
skos:notation
  • RIV/00216224:14310/13:00066006!RIV14-GA0-14310___
http://linked.open...avai/predkladatel
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  • P(GAP201/11/0768)
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  • 12
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  • 93891
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  • RIV/00216224:14310/13:00066006
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  • Half-linear differential equation; principal solution; oscillation (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • HU - Maďarsko
http://linked.open...ontrolniKodProRIV
  • [D8EDF56E009B]
http://linked.open...i/riv/nazevZdroje
  • Electronic Journal of Qualitative Theory of Differential Equations
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http://linked.open...vavai/riv/projekt
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  • 2013
http://linked.open...iv/tvurceVysledku
  • Došlá, Zuzana
  • Došlý, Ondřej
  • Marini, Mauro
  • Cecchi, Mariella
http://linked.open...ain/vavai/riv/wos
  • 000313956400001
issn
  • 1417-3875
number of pages
http://localhost/t...ganizacniJednotka
  • 14310
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