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Comparison results for oscillation of nonlinear differential equations. (English) Zbl 0927.34023

The authors give a survey and new results on the oscillatory behaviour of the nonlinear differential equation \((r(t)x')' +q(t)f(x)=0\), in particular of the Emden-Fowler equation. The criteria involve convergence or divergence of integrals containing the coefficients. Also, the asymptotic behavior is studied.
Reviewer: E.Heil (Darmstadt)

MSC:

34C15 Nonlinear oscillations and coupled oscillators for ordinary differential equations
34C11 Growth and boundedness of solutions to ordinary differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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