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New oscillation criteria for second-order nonlinear neutral delay differential equations. (English) Zbl 1175.34087
Summary: Several new oscillation criteria for the second-order nonlinear neutral delay differential equation $$[r(t)|x(t) + p(t)x[\sigma (t)])^{\prime }|^{m-1}(x(t) + p(t)x[\sigma (t)])^{\prime }]^{\prime } + q(t)f(x[\tau (t)]) = 0,\quad t \geq t_0$$ are established. These oscillation criteria extend and improve some known results. An interesting example illustrating the importance of our results is also provided.

MSC:
34K11Oscillation theory of functional-differential equations
34K40Neutral functional-differential equations
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References:
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