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Keywords:
half-linear differential equation; Hille-Wintner comparison criterion; Riccati equation; principal solution
half-linear differential equation; Hille-Wintner comparison criterion; Riccati equation; principal solution
Summary:
We establish Hille-Wintner type comparison criteria for the half-linear second order differential equation \[ \left(r(t)\Phi (x^{\prime })\right)^{\prime }+c(t)\Phi (x)=0,\quad \Phi (x)=|x|^{p-2}x\,,\ p>1\,, \] where this equation is viewed as a perturbation of another equation of the same form.
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