Electronic Journal of Differential Equations, Vol. 2013 (2013), No. 170, pp. 1-10. Title: Controllability of nonlinear third-order dispersion inclusions with infinite delay Authors: Meili Li (Donghua Univ., Shanghai, China) Xiaoxia Wang (Donghua Univ., Shanghai, China) Haiqing Wang (Donghua Univ., Shanghai, China) Abstract: This article shows the controllability of nonlinear third-order dispersion inclusions with infinite delay. Sufficient conditions are obtained by using a fixed-point theorem for multivalued maps. Particularly, the compactness of the operator semigroups is not assumed in this article. Submitted June 4, 2013. Published July 26, 2013. Math Subject Classifications: 93B05, 34G20, 93C20, 34K09. Key Words: Controllability; semigroup theory; nonlinear dispersion inclusions; Korteweg-de Vries equation; infinite delay.