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Oscillation results for Emden-Fowler type differential equations. (English) Zbl 0879.34040

The oscillation and nonoscillation criteria for a third order nonlinear differential equation of Emden-Fowler type are proved, which extend and improve some results of the authors. In addition, contributions to the classification of solutions are given. The technique used in the paper is based on a transformation of the given equation in a disconjugate form by auxiliary results on the asymptotic behavior of solutions of a certain second order linear differential equation, which are deduced in the paper.

MSC:

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