On asymptotic behavior of the solutions of a class of perturbed differential equations with piecewise constant argument and variable coefficients (Q1336168)

Conditions are given for exponential stability and exponential dichotomy of the solutions of the delayed differential equation \(y'(t)= A(t)y(t)+ B(t)y([t])+ f(t,y(t))\), \(y(0)= y_ 0\), \(t\in [n,n+1)\); \(n= 0,1,\dots\), where \(y(t)\in \mathbb{R}^ r\) and \([t]\) is the entire part of \(t\).