Electronic Journal of Differential Equations, Vol. 2005(2005), No. 110, pp. 1-11. Title: Viable solutions for second order nonconvex functional differential inclusions Author: Vasile Lupulescu (Univ.of Targu Jiu, Romania) Abstract: We prove the existence of viable solutions for an autonomous second-order functional differential inclusions in the case when the multifunction that define the inclusion is upper semicontinuous compact valued and contained in the subdifferential of a proper lower semicontinuous convex function. Submitted July 14, 2005. Published October 10, 2005. Math Subject Classifications: 34A60. Key Words: Functional differential inclusions; viability result.