Electronic Journal of Differential Equations, Vol. 2008(2008), No. 144, pp. 1-16. Title: Monotone solutions for a nonconvex functional differential inclusions of second order Authors: Ahmed G. Ibrahim (Cairo Univ., Egypt) Feryal A. Al-Adsani (King Faisal Univ., Sudi Arabia) Abstract: We give sufficient conditions for the existence of a monotone solution for second-order functional differential inclusions. No convexity condition, on the values of the multifunction defining the inclusion, is involved in this construction. Submitted June 10, 2008. Published October 24, 2008. Math Subject Classifications: 34A60, 49K24. Key Words: Functional differential inclusion; monotone solution; second-order contingent cone.