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Zbl 0927.34023
Cecchi, Mariella; Marini, Mauro; Villari, Gabriele
Comparison results for oscillation of nonlinear differential equations. (English)
[J] NoDEA, Nonlinear Differ. Equ. Appl. 6, No.2, 173-190 (1999). ISSN 1021-9722; ISSN 1420-9004/e

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.
[E.Heil (Darmstadt)]

MSC 2000:: *34C15 Nonlinear oscillations of solutions of ODE
34C11 Qualitative theory of solutions of ODE: Growth, etc.
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.

Keywords: oscillation; nonlinear differential equations; growth of solutions; Leighton transformation; Emden-Fowler equation

Cited in: Zbl 1223.34048

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