In this paper some results about the Hyers-Ulam-Rassias stability for thelinear functional equations in general form and its Pexiderized can beproved for given functions on general domain to a complex Banach spacesunder some suitable conditions. In connection with the problem of G. L.Forti in the 13st ICFEI we consider the common stability for the systems offunctional equations and our aim is to establish some commonHyers-Ulam-Rassias stability for systems of homogeneous linear functionalequations. The results is applied to the study of some superstabilityresults for the exponential functional equation.