Perturbation of Volterra inclusions by impulse operator

For Volterra inclusions with impulsive perturbations there are considered the problems of local solvability and extendability of solutions. It is proved that the right end-point of the interval on which all the solutions exist depends lower semi-continuously on the parameters. It is also shown that, if the inclusion is a-priori bounded for some parameter value, then this value can not be an isolated point, in the sense of a-priori boundedness, moreover the solutions sets (viewed as those depending on a parameter) are Hausdorff upper semicontinuous at this point.