Geodesic
Oscillation criteria for a class of nonlinear differential equations of third order
Annales Polonici Mathematici, Tome 57 (1992) no. 3, pp. 219-229.

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Oscillation criteria are obtained for nonlinear homogeneous third order differential equations of the form $y''' + q(t)y' + p(t)y^α = 0$ and y''' + q(t)y' + p(t)f(y) = 0, where p and q are real-valued continuous functions on [a,∞), f is a real-valued continuous function on (-∞, ∞) and α > 0 is a quotient of odd integers. Sign restrictions are imposed on p(t) and q(t). These results generalize some of the results obtained earlier in this direction.
DOI : 10.4064/ap-57-3-219-229
Keywords: third order equations, oscillation, nonoscillation, asymptotic behaviour

N. Parhi 1 ; P. Das 1

1 
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N. Parhi; P. Das. Oscillation criteria for a class of nonlinear differential equations of third order. Annales Polonici Mathematici, Tome 57 (1992) no. 3, pp. 219-229. doi : 10.4064/ap-57-3-219-229. http://geodesic.mathdoc.fr/articles/10.4064/ap-57-3-219-229/

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