## Asymptotic formulas for non-oscillatory solutions of perturbed half-linear Euler equation.(English)Zbl 1158.34027

Summary: We establish asymptotic formulas for non-oscillatory solutions of the half-linear second-order differential equation
$(\Phi(x'))'+\frac{\gamma}{t^p}\,\Phi(x)+c(t)\Phi(x')=0,$
where this equation is viewed as a perturbation of the half-linear Euler equation.

### MSC:

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

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