On the well-posedness of the Cauchy problem for a class of differential equations with distributed delay and the continuous initial condition.
Résumé
Theorems on the continuous dependence of solutions on perturbations of the initial data and the right-hand side of equations are proved. Under initial data we imply the collection of an initial moment, delay and initial functions. Perturbations of the initial data are small in a standard norm and perturbations of the right-hand side of equation are small in the integral sense.