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In this paper we investigate oscillatory properties of the second order half-linear equation
Using the Riccati technique, the variational method and the reciprocity principle we establish new oscillation and nonoscillation criteria for (*). We also offer alternative methods of proofs of some recent oscillation results.
Some recent results concerning properties of solutions of the half-linear second order differential equation
are presented. A particular attention is paid to the oscillation theory of . Related problems are also discussed.
The Picone-type identity for the half-linear second order partial differential equation
is established and some applications of this identity are suggested.
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