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Oscillation criteria for a class of third-order nonlinear neutral differential equations

Zhong J., Ouyang Z., Zou S.

Journal of Applied Analysis

2011

Vol. 17, nr 2

155-163

A class of third-order nonlinear neutral differential equation (r(t)(y"(t)) α)' + q(t) f(x(σ (t))) = 0 is investigated in this paper, where y(t) = x(t) + p(t)x(?(t)), and ? > 0 is any quotient of odd integers. Using a new method, we obtain some sufficient conditions for the oscillation of the above equation, and some known oscillation criteria be extended. An example is inserted to illustrate the result.