The Existence of Almost Periodic Solutions of First Order Neutral

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$Â¥frac{d}{dt}(y(t)+py(t-1))=qy(2[Â¥frac{t+1}{2}])+f(t)$ , where $f$ .... Furthermore, if $f(t)$ is $co$ -periodic, then the following results hold:. (1) If $Â¥omega=2n_{0}$ , $n_{0}Â¥in Z^{+}$ , then $Eq$. ..... Now consider $Â¥{y(t+a_{n})Â¥}_{1}^{Â¥infty}$ .
Funkcialaj Ekvacioj, 41 (1998) 257-270

The Existence of Almost Periodic Solutions of First Order Neutral Delay Differential Equations with Piecewise Constant Argument By

Rong YUAN (Beijing Normal University, P. R. China)

1.

Inffoduction

The main purpose of this paper is to investigate the existence of almost periodic solutions for the following first order neutral differential equations with piecewise constant argument

(1)

$¥frac{d}{dt}(y(t)+py(t-1))=qy(2[¥frac{t+1}{2}])+g(t,y(t),y([t]))$

are constants;

,

is the greatest integer function; is almost periodic for uniformly on $R¥times R$ , that is, for any compact set $W¥subset R¥times R$ , $T(g,¥epsilon, W)=$ $¥{¥tau||g(t+¥tau,x,y)-g(t,x,y)|