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Existence of almost periodic solutions of second order neutral delay differential equations with piecewise constant argument
Authors:Rong Yuan
Affiliation:(1) Department of Mathematics, Beijing Normal University, 100875 Beijing, China
Abstract:By constructing almost periodic sequence solutions to difference equations, the existence of almost periodic solutions of neutral delay differential equations with piecewise constant argument

$$frac{{d^2 }}{{dt^2 }}(x(t) + px(t - 1)) = qrleft( {2left[ {frac{{t + 1}}{2}} right]} right) + g{bf{ }}(t,x(t),x([t]))$$
is studied. Project supported by the National Natural Science Foundation of China.
Keywords:almost periodic solutions  almost periodic sequences  neutral delay equation  piecewise constant argument
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