Abstract

Consider the first-order advanced differential equation of the formwhere qi, 1 ≤ i ≤ m are functions of non-negative real numbers, and σi, 1 ≤ i ≤ m are functions of positive real numbers such that σi(t) > t for t ≥ t0. New oscillation criteria, involving lim sup and lim inf, are established, in the case of non-monotone advanced arguments. An example illustrating the results is also given.

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