Electronic Journal of Differential Equations, Vol. 2008(2008), No. 51, pp. 1-7. Title: Existence of solutions for systems of self-referred and hereditary differential equations Authors: Ut Van Le (International Language Academy, Vietnam) Lan T. T. Nguyen (Univ. CT, Vietnam) Abstract: In this paper we investigate the existence of solutions of a system of self-referred and hereditary differential equations. The initial data are assumed to be lower semi-continuous. We also formulate some open questions. Submitted February 5, 2008. Published April 10, 2008. Math Subject Classifications: 47J35, 45G10. Key Words: Self-referred and hereditary differential equations; linear recursive schemes; existence of solutions.