Electronic Journal of Differential Equations, Vol. 2000(2000), No. 75, pp. 1-10. Title: Non-collision solutions for a class of planar singular Lagrangian systems Author: Morched Boughariou (Campus Universitaire, Tunisie) Abstract: In this paper, we show the existence of non-collision periodic solutions of minimal period for a class of singular second order Hamiltonian systems in ${\bf R}^2$ with weak forcing terms. We consider the fixed period problem and the fixed energy problem in the autonomous case. Submitted September 18, 2000. Published December 15, 2000. Math Subject Classifications: 35D05, 35D10, 58E30. Key Words: Singular Lagrangian system; periodic solution; non-collision.