Electronic Journal of Differential Equations, Vol. 2006(2006), No. 103, pp. 1-10. Title: On a mixed nonlocal problem for a wave equation Author: Sergei A. Beilin (Samara State Univ., Russia) Abstract: A nonlocal problem for a wave equation with integral condition is studied in a cylinder. The uniqueness and existence of a generalized solution is proved with the help of an a priori estimate and the Galerkin procedure, respectively. Submitted April 13, 2006. Published September 8, 2006. Math Subject Classifications: 35L05, 35L20, 35L99. Key Words: Nonlocal problem; integral condition; wave equation.