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# Article

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Keywords:
half-linear differential equations
Summary:
A second-order half-linear ordinary differential equation of the type $$(|y^{\prime}|^{\alpha-1}y^{\prime})^{\prime}+\alpha q(t)|y|^{\alpha-1}y=0 \leqno{{\rm (1)}}$$ is considered on an unbounded interval. A simple oscillation condition for (1) is given in such a way that an explicit asymptotic formula for the distribution of zeros of its solutions can also be established.
References:
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[4] Li H. J., Yeh C. C.: Sturmian comparison theorem for half-linear second order differential equations. Proc. Royal Soc. Edinburgh 125A (1995), 1193 - 1204. MR 1362999 | Zbl 0873.34020
[5] Piros M.: On the solutions of a half-Linear differential equation. Studia Sci. Math. Hungar., 19 (1984), 193 - 211. MR 0874484 | Zbl 0638.34024

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