Electronic Journal of Differential Equations, Vol. 2009(2009), No. 36, pp. 1-16. Title: Asymptotic behavior of solutions to Cauchy-Dirichlet problems for second-order hyperbolic equations in cylinder with non-smooth base Authors: Nguyen Manh Hung (Hanoi National Univ., Vietnam) Bui Trong Kim (Hanam College of Education, Vietnam) Abstract: This paper concerns a Cauchy-Dirichlet problem for second-order hyperbolic equations in infinite cylinders with the base containing conical points. Some results on the asymptotical expansions of generalized solutions of this problem are given. Submitted August 18, 2008. Published March 03, 2009. Math Subject Classifications: 35L05, 35L15, 35L20. Key Words: Generalized solution; asymptotic; conical point on the boundary; non-smooth domains.