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Pseudo-almost-periodic solutions to neutral delay differential equations with piecewise constant arguments. (Chinese. English summary) Zbl 1033.34076

Summary: By constructing a pseudo-almost-periodic solution sequence for a difference equation, we investigate the existence and uniqueness of a pseudo-almost-periodic solution to the neutral delay differential equation with piecewise constant arguments \[ {d\over dt} (y(t)+ py(t- 1))= a_0 y([t])+ a_1 y([t- 1])+ F(t, y(t), y([t])). \] {}

MSC:

34K14 Almost and pseudo-almost periodic solutions to functional-differential equations
34K40 Neutral functional-differential equations
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