In this paper, we consider the following second-order neutral differential equations with piecewise constant atgument of the formd2/dt2(x(t)+p(t)x(t-1)=qx(2[t+1/2]+g(t,x(t),x([t]))d2/dt2(x(t)+p(t)x(t-1))=qx(2[t+1/2]+f(t)and obtained the sufficient condition for the existence of pseudo-ω-periedic solutions .%给出了二阶中立型逐段常变量微分方程d2/dt2(x(t)+p(t)x(t-1)=qx(2[t+1/2]+g(t,x(t),x([t]))d2/dt2(x(t)+p(t)x(t-1))=qx(2[t+1/2]+f(t)的周伪ω期解存在唯一性的充分条件.
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