## Nonoscillatory solutions of second order differential equations with integrable coefficients.(English)Zbl 0701.34044

The author discusses the asymptotic behaviour of non-oscillatory solutions to the equation $$x''+a(t)| x|^{\gamma} sgn x=0,$$ where $$\gamma >0$$ and $$\lim_{T\to \infty}\int^{T}_{t}a(\tau)d\tau \geq 0$$ for all t. Particular emphasize is put on the case $$\gamma <1$$.
Reviewer: J.Appell

### MSC:

 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations 34C11 Growth and boundedness of solutions to ordinary differential equations

### Keywords:

non-oscillatory solutions
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### References:

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