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Hartman-Wintner type criteria for half-linear second order differential equations. (English) Zbl 1174.34033

Summary: We establish Hartman-Wintner type criteria for the half-linear second order differential equation \[ \left (r(t)\Phi (x')\right )'+c(t)\Phi (x)=0,\quad \Phi (x)=| x| ^{p-2}x,\;p>1, \] where this equation is viewed as a perturbation of another equation of the same form.

MSC:

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