Ondrej Dosly, Mathematical Institute, Czech Academy of Sciences, Zizkova 22, CZ-616 62 Brno, e-mail: dosly@math.muni.cz
Abstract: Some recent results concerning properties of solutions of the half-linear second order differential equation
(r(t)\Phi(x'))'+c(t)\Phi(x)=0,\quad\Phi(x):=|x|^{p-2}x,\quad p>1, \leqno{(*)}
are presented. A particular attention is paid to the oscillation theory of $(*)$. Related problems are also discussed.
Keywords: half-linear equation, Picone's identity, scalar $p$-Laplacian, variational method, Riccati technique, principal solution
Classification (MSC 2000): 34C10
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