In this paper we study two-point boundary value problems of a class of uncertain dynamical systems, i.e., undamped uncertain dynamical systems. We introduce the concept of large solutions and small solutions for two-point boundary value problems of undamped uncertain dynamical systems, and under some conditions establish the existence and uniqueness of large solutions and small solutions and settle the relationship between large solutions and small solutions. (c) 2008 Elsevier B.V. All rights reserved.