%0 Journal Article %T Unique solvability of initial boundary-value problems for hyperbolic systems in cylinders whose base is a cusp domain %A Nguyen Manh Hung %A Vu Trong Luong %J Electronic Journal of Differential Equations %D 2008 %I Texas State University %X We study initial boundary-value problems for hyperbolic systems of divergence form of arbitrary order in cylinders whose base is a cusp domain. Our main results are to prove the existence, uniqueness and the smoothness with respect to time variable of generalized solutions of these problems by using the method which we will denote as "approximating boundary method". %K Initial boundary-value problems %K hyperbolic systems %K Cusp domain %K approximating boundary method %K generalized solution %K existence %K uniqueness %K smoothness %U http://ejde.math.txstate.edu/Volumes/2008/138/abstr.html