Abstract
We study the oscillation and asymptotic behavior of third‐order nonlinear delay differential equation with piecewise constant argument of the form (r2(t)(r1(t)x′(t))′)′ + p(t)x′(t) + f(t, x([t])) = 0. We establish several sufficient conditions which insure that any solution of this equation oscillates or converges to zero. Some examples are given to illustrate the importance of our results.
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