Electronic Journal of Differential Equations, Vol. 2002(2002), No. 62, pp. 1-13. Title: A three-point boundary-value problem for a hyperbolic equation with a non-local condition Authors: Said Mesloub (Univ. of Tebessa, Algeria) Salim A. Messaoudi (KFUPM, Saudi Arabia) Abstract: We use an energy method to solve a three-point boundary-value problem for a hyperbolic equation with a Bessel operator and an integral condition. The proof is based on an energy inequality and on the fact that the range of the operator generated is dense. Submitted April 16, 2002. Published July 3, 2002. Math Subject Classifications: 35L20, 35L67, 34B15. Key Words: Wave equation; Bessel operator; nonlocal condition.