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Keywords:
half-linear equation; Picone’s identity; scalar $p$-Laplacian; variational method; Riccati technique; principal solution
half-linear equation; Picone’s identity; scalar $p$-Laplacian; variational method; Riccati technique; principal solution
Summary:
Some recent results concerning properties of solutions of the half-linear second order differential equation \[ (r(t)\Phi (x^{\prime }))^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x):=|x|^{p-2}x,\quad p>1, \qquad \mathrm{{(*)}}\] are presented. A particular attention is paid to the oscillation theory of $(*)$. Related problems are also discussed.
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