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Qualitative theory of half-linear second order differential equations. (English) Zbl 1016.34030
Summary: Some recent results concerning properties of solutions to the half-linear second-order differential equation $(r(t)\Phi (x'))'+c(t)\Phi (x)=0,\quad \Phi (x):=|x|^{p-2}x,\quad p>1, \tag{1}$ are presented. A particular attention is paid to the oscillation theory for (1). Related problems are also discussed.

##### MSC:
 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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