Geodesic
Constants in the oscillation theory of higher order Sturm-Liouville differential equations
Electronic journal of differential equations, Tome 2002 (2002)
We find the the exact value of a constant in some oscillation criteria for the higher order Sturm-Liouville differential equation

$ (-1)^{n}(t^\alpha y^{(n)})^{(n)}=q(t)y . $

We also study some general aspects in the oscillation theory of this equation.
Classification : 34C10
Keywords: Sturm-Liouville differential equation, variational method, oscillation and non-oscillation criteria, conditional oscillation 
@article{EJDE_2002__2002__a150,
     author = {Do\v{s}l\'y,  Ond\v{r}ej},
     title = {Constants in the oscillation theory of higher order {Sturm-Liouville} differential equations},
     journal = {Electronic journal of differential equations},
     year = {2002},
     volume = {2002},
     zbl = {1016.34029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a150/}
}
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Došlý,  Ondřej. Constants in the oscillation theory of higher order Sturm-Liouville differential equations. Electronic journal of differential equations, Tome 2002 (2002). http://geodesic.mathdoc.fr/item/EJDE_2002__2002__a150/