Consider the neutral delay differential equation with positive and negative coefficients,[formula]wherep ∈ Rand[formula] Some sufficient conditions for the existence of a nonoscillatory solution of the above equation expressed in terms of ∫∞ sQi(s) ds < ∞,i = 1, 2, and certain technical conditions implying thatQ1(s) dominatesQ2(s) are obtained for values ofp ≠ ± 1.
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