Electronic Journal of Differential Equations, Vol. 2003(2003), No. 103, pp. 1-8. Title: A classical solution weakened on the axis for a mixed problem of inhomogeneous hyperbolic equations Author: Raid Al-Momani (Yarmouk Univ., Irbid, Jordan) Abstract: The main purpose of this paper is to present sufficient conditions, on the forcing term of a mixed problem for three dimensional hyperbolic equations of any even order, for the existence of axially weakened classical solutions. Submitted Submitted December 20, 2002. Published October 9, 2003. Math Subject Classifications: 35L70, 58J45. Key Words: Weakened classical solutions; hyperbolic equations.