Continuous dependence of solutions for integrodifferential equations with infinite delay (Q1097456)

The author considers the continuous dependence of solutions of initial functions for the integrodifferential equation \(x'=h(t,x)+\int^{t}_{- \infty}q(t,s,x(s))ds,\) \(t\geq 0\), \(x(t)=\phi(t),\) \(-\infty <t\leq 0\), where \(\phi \in X_ g\) is an infinite function, \(X_ g\) being the space of continuous functions \(\phi: (-\infty,0]\to R^ n\), and h,q are continuous.