Oscillation and nonoscillation crieria for half-linear second order differential quations

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概要

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• We investigate oscillatory properties of the second order half-linear differential equation$$ \left(r(t)\Phi(y')\right)'+c(t)\Phi(y)=0,\quad \Phi(s):= |s|^{p-2}s,\ p>1,\leqno{(*)}$$viewed as a perturbation of a nonoscillatory equation of the same form$$ \left(r(t)\Phi(y')\right)'+\tilde c(t)\Phi(y)=0.$$ Conditions on the difference $c(t)-\tilde c(t)$ are given which guarantee that equation (*) becomes oscillatory (remains nonoscillatory).

• 広島大学の論文

著者

• Do\v{s}l\'y\ Ond\v{r}ej

  Masaryk University Dept. Of Mathematics Cheh Republic

• Lomtatidze:}}]\ Alexander

  Masaryk University Dept. Of Mathematics Cheh Republic

関連論文

• Oscillation and nonoscillation crieria for half-linear second order differential quations

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