Abstract
In this paper, we introduce a new class of ergodic sequences, pseudo almost periodic sequences, and study the existence of pseudo almost periodic sequences to difference equations. On the basis of these, we investigate the existence of pseudo almost periodic solutions for neutral delay differential equations with piecewise constant argument, $${d\over dt}(y(t)+py(t-1))=qy(2[{t+1\over 2}])+g(t,y(t),y([t])).$$
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