Electronic Journal of Differential Equations, Vol. 2007(2007), No. 98, pp. 1-8. Title: Positive solutions and continuous branches for boundary-value problems of differential inclusions Authors: Nguyen Thi Hoai (Voronezh State Pedagogical Univ., Russia) Nguyen Van Loi (Voronezh State Pedagogical Univ., Russia) Abstract: In this paper, we consider second order differential inclusions with periodic boundary conditions. We obtain the existence of positive solutions and of continuous branches of positive solutions. Submitted February 16, 2007. Published July 13, 2007. Math Subject Classifications: 34B16, 34A60, 34B18, 47H04. Key Words: Boundary value problems; positive solutions; multivalued map; differential inclusions.